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Polynomial Mitigation of the Fermionic Sign Problem via Topological Neural Flows and Generalized Complex Manifold Deformations 认领 引用
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作者 Kaiyang Liu 《Journal of Electronic Research and Application》 2026年第7期108-115,共8页
Since the discovery of the sign problem in the 1980s, all unbiased numerical methods have failed to avoid the exponential growth of computational complexity when simulating strongly correlated fermions at finite densi... Since the discovery of the sign problem in the 1980s, all unbiased numerical methods have failed to avoid the exponential growth of computational complexity when simulating strongly correlated fermions at finite densities. This paper proves that by analytically continuing the path integral to a continuous complex manifold and transforming it into an unsupervised geometric optimization problem, this exponential wall can be systematically mitigated. We introduce the Topological Neural Flow (TNF) framework, utilizing Equivariant Continuous Normalizing Flows constrained by Cauchy’s integral theorem to dynamically learn a deformation contour that minimizes the imaginary phase variance of the effective action. Focusing on the highly challenging 2D hole-doped repulsive Hubbard model, we demonstrate exponential sign mitigation on lattices up to 10 × 10, reducing the required number of Monte-Carlo samples by up to 8 orders of magnitude. We explicitly map the critical breakdown point of the method at the 12 × 12 scale, establishing a rigorous mathematical and physical foundation for AI-assisted path integral contour deformations. 展开更多
关键词 Fermionic sign problem Topological neural flow Complex manifold deformation 2D hubbard model
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Complex Evolutionary Games:Problem,Method,and Future 认领 引用
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作者 Zhou-Zhi Lu Yi Jiang +4 位作者 Zhi-Fan Tang Liu-Yue Luo Chun-Hua Chen Jun Zhang Zhi-Hui Zhan 《Artificial Intelligence Science and Engineering》 2026年第2期141-164,共24页
Evolutionary game theory(EGT)is a complex and emerging research area.In recent years,the rapid development of evolutionary games has driven extensive research across multiple interdisciplinary domains.However,existing... Evolutionary game theory(EGT)is a complex and emerging research area.In recent years,the rapid development of evolutionary games has driven extensive research across multiple interdisciplinary domains.However,existing surveys remain scenario-specific and lack a comprehensive overview of complex evolutionary games.To address this research gap,this survey aims to provide a comprehensive review of existing studies in the field of complex evolutionary games,thereby offering a clear reference framework for future researchers.First,a novel 5C taxonomy framework is proposed to systematically characterize the core complexities in complex evolutionary games from five complementary dimensions,namely complex structures,contingent strategies,changing environments,coupled players,and compound payoffs.This framework provides a unified taxonomy for organizing fragmented studies and revealing the intrinsic relationships among different categories of complex evolutionary games.Second,based on the proposed 5C taxonomy framework,this survey systematically investigates and analyzes state-of-the-art studies,comprehensively summarizing their advantages and limitations.Finally,potential future research directions are discussed with the aim of promoting further advancements in complex evolutionary games.This survey seeks to provide researchers with a comprehensive reference and valuable research insights,thereby facilitating the continued development and prosperity of the evolutionary games field. 展开更多
关键词 evolutionary game theory complex evolutionary games 5C taxonomy framework complex systems evolutionary dynamics evolutionary computation
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A new complex variable element-free Galerkin method for two-dimensional potential problems 认领 引用 被引量：18
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作者 程玉民 王健菲 白福浓 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期43-52,共10页
In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-f... In this paper, based on the element-free Galerkin （EFG） method and the improved complex variable moving least- square （ICVMLS） approximation, a new meshless method, which is the improved complex variable element-free Galerkin （ICVEFG） method for two-dimensional potential problems, is presented. In the method, the integral weak form of control equations is employed, and the Lagrange multiplier is used to apply the essential boundary conditions. Then the corresponding formulas of the ICVEFG method for two-dimensional potential problems are obtained. Compared with the complex variable moving least-square （CVMLS） approximation proposed by Cheng, the functional in the ICVMLS approximation has an explicit physical meaning. Furthermore, the ICVEFG method has greater computational precision and efficiency. Three numerical examples are given to show the validity of the proposed method. 展开更多
关键词 meshless method improved complex variable moving least-square approximation im- proved complex variable element-free Galerkin method potential problem
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Large energy gap between singlet and triplet states is no longer a problem:intermediate charge transfer state boosts overall quantum yield up to 67%in Eu3+complexes 认领 引用 被引量：1
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作者 Nane A.Avagyan Pavel S.Lemport +10 位作者 Trofim A.Polikovskiy Alisia V.Tsorieva Mikhail T.Metlin Ilya V.Taydakov Roman V.Zonov Konstantin A.Lyssenko Mikhail F.Vokuev Igor A.Rodin Vitaly A.Roznyatovsky Yuri A.Ustynyuk Valentine G.Nenajdenko 《Rare Metals》 SCIE EI CAS CSCD 2025年第6期4279-4293,共15页
New complexes of europium,gadolinium and terbium trinitrates with N,N,N’,N’-tetraalkyl substituted phenanthroline diamides were synthesized.The europium complexes were found to be highly efficient in terms of lumine... New complexes of europium,gadolinium and terbium trinitrates with N,N,N’,N’-tetraalkyl substituted phenanthroline diamides were synthesized.The europium complexes were found to be highly efficient in terms of luminescence properties(max quantum yield=67%).The significant influence of the structure of the ligands on the photophysical characteristics of their complexes was demonstrated.Thus,the incorporation of various substituents(Cl,F,O,OH)into the phenanthroline core causes significant changes in the luminescent behavior of the obtained coordination compounds.We observed significant differences in the energy gap between the excited states S1and T1,especially in the L2H.Eu(NO3)3and L2FOH.Eu(NO3)3complexes,which both demonstrated high overall quantum yields(66%and 67%,respectively).Study of the diffuse reflection spectra of terbium complexes suggested the phenomenon of charge transfer,potentially ligand-to-ligand(LLCT)or intra-ligand(ILCT),rather than ligand-to-metal charge transfer(LMCT).These results highlight the complicated relationship between ligand structure,energy transfer mechanisms and quantum yield in rare earth element complexes,shedding light on ways to optimize their luminescent properties. 展开更多
关键词 Phenanthroline Lanthanide Complex Luminescence DFT X-ray
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New complex variable meshless method for advection-diffusion problems 认领 引用 被引量：11
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作者 王健菲 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期92-98,共7页
In this paper,an improved complex variable meshless method（ICVMM） for two-dimensional advection-diffusion problems is developed based on improved complex variable moving least-square（ICVMLS） approximation.The equi... In this paper,an improved complex variable meshless method（ICVMM） for two-dimensional advection-diffusion problems is developed based on improved complex variable moving least-square（ICVMLS） approximation.The equivalent functional of two-dimensional advection-diffusion problems is formed,the variation method is used to obtain the equation system,and the penalty method is employed to impose the essential boundary conditions.The difference method for twopoint boundary value problems is used to obtain the discrete equations.Then the corresponding formulas of the ICVMM for advection-diffusion problems are presented.Two numerical examples with different node distributions are used to validate and investigate the accuracy and efficiency of the new method in this paper.It is shown that ICVMM is very effective for advection-diffusion problems,and has a good convergent character,accuracy,and computational efficiency. 展开更多
关键词 meshless method improved complex variable moving least-square approximation improved complex variable meshless method advection-diffusion problem
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The complex variable meshless local Petrov-Galerkin method of solving two-dimensional potential problems 认领 引用 被引量：1
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作者 杨秀丽 戴保东 张伟伟 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期49-55,共7页
Based on the complex variable moving least-square（CVMLS） approximation and a local symmetric weak form,the complex variable meshless local Petrov-Galerkin（CVMLPG） method of solving two-dimensional potential proble... Based on the complex variable moving least-square（CVMLS） approximation and a local symmetric weak form,the complex variable meshless local Petrov-Galerkin（CVMLPG） method of solving two-dimensional potential problems is presented in this paper.In the present formulation,the trial function of a two-dimensional problem is formed with a one-dimensional basis function.The number of unknown coefficients in the trial function of the CVMLS approximation is less than that in the trial function of the moving least-square（MLS） approximation.The essential boundary conditions are imposed by the penalty method.The main advantage of this approach over the conventional meshless local Petrov-Galerkin（MLPG） method is its computational efficiency.Several numerical examples are presented to illustrate the implementation and performance of the present CVMLPG method. 展开更多
关键词 meshless method complex variable moving least-square method complex variable meshless local Petrov-Galerkin method potential problems
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A new complex variable meshless method for transient heat conduction problems 认领 引用 被引量：11
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作者 王健菲 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第12期42-50,共9页
In this paper, based on the improved complex variable moving least-square （ICVMLS） approximation, a new complex variable meshless method （CVMM） for two-dimensional （2D） transient heat conduction problems is pres... In this paper, based on the improved complex variable moving least-square （ICVMLS） approximation, a new complex variable meshless method （CVMM） for two-dimensional （2D） transient heat conduction problems is presented. The variational method is employed to obtain the discrete equations, and the essential boundary conditions are imposed by the penalty method. As the transient heat conduction problems are related to time, the Crank-Nicolson difference scheme for two-point boundary value problems is selected for the time discretization. Then the corresponding formulae of the CVMM for 2D heat conduction problems are obtained. In order to demonstrate the applicability of the proposed method, numerical examples are given to show the high convergence rate, good accuracy, and high efficiency of the CVMM presented in this paper. 展开更多
关键词 meshless method improved complex variable moving least-square approximation com-plex variable meshless method transient heat conduction problem
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Complex Modal Analysis for the Time-Variant Dynamical Problem of Rotating Pipe Conveying Fluid 认领 引用 被引量：3
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作者 Lihua Wang Zheng Zhong 《Computer Modeling in Engineering & Sciences》 SCIE EI 2018年第1期1-18,共18页
A semi-analytical form of complex modal analysis is proposed for the time-variant dynamical problem of rotating pipe conveying fluid system.The complex mode superposition method is introduced for the dynamic analysis ... A semi-analytical form of complex modal analysis is proposed for the time-variant dynamical problem of rotating pipe conveying fluid system.The complex mode superposition method is introduced for the dynamic analysis in the time and frequency domains,in which appropriate orthogonality conditions are constructed to decouple the time-variant equation of motion.Consequently,complex frequencies and modes of vibration are analytically formulated and the variations of frequencies and damping of the system are evaluated.Numerical time-variant example of rotating pipe conveying fluid illustrates the effectiveness and accuracy of this method.Furthermore,the proposed solution scheme is also applicable to other similar time-variant dynamical problems. 展开更多
关键词 Semi-analytical form complex modal analysis time-variant dynamical problem rotating pipe conveying fluid
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Improved Particle Swarm Optimization for Solving Transient Nonlinear Inverse Heat Conduction Problem in Complex Structure 认领 引用 被引量：2
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作者 ZHOU Ling ZHANG Chunyun +2 位作者 BAI Yushuai LIU Kun CUI Miao 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第5期816-828,共13页
Accurately solving transient nonlinear inverse heat conduction problems in complex structures is of great importance to provide key parameters for modeling coupled heat transfer process and the structure’s optimizati... Accurately solving transient nonlinear inverse heat conduction problems in complex structures is of great importance to provide key parameters for modeling coupled heat transfer process and the structure’s optimization design.The finite element method in ABAQUS is employed to solve the direct transient nonlinear heat conduction problem.Improved particle swarm optimization(PSO)method is developed and used to solve the transient nonlinear inverse problem.To investigate the inverse performances,some numerical tests are provided.Boundary conditions at inaccessible surfaces of a scramjet combustor with the regenerative cooling system are inversely identified.The results show that the new methodology can accurately and efficiently determine the boundary conditions in the scramjet combustor with the regenerative cooling system.By solving the transient nonlinear inverse problem,the improved particle swarm optimization for solving the transient nonlinear inverse heat conduction problem in a complex structure is verified. 展开更多
关键词 improved particle swarm optimization transient nonlinear heat conduction problem inverse identification finite element method complex structure
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Analysis of elastoplasticity problems using an improved complex variable element-free Galerkin method 认领 引用 被引量：6
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作者 程玉民 刘超 +1 位作者 白福浓 彭妙娟 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第10期16-25,共10页
In this paper, based on the conjugate of the complex basis function, a new complex variable moving least-squares approximation is discussed. Then using the new approximation to obtain the shape function, an improved c... In this paper, based on the conjugate of the complex basis function, a new complex variable moving least-squares approximation is discussed. Then using the new approximation to obtain the shape function, an improved complex variable element-free Galerkin（ICVEFG） method is presented for two-dimensional（2D） elastoplasticity problems. Compared with the previous complex variable moving least-squares approximation, the new approximation has greater computational precision and efficiency. Using the penalty method to apply the essential boundary conditions, and using the constrained Galerkin weak form of 2D elastoplasticity to obtain the system equations, we obtain the corresponding formulae of the ICVEFG method for 2D elastoplasticity. Three selected numerical examples are presented using the ICVEFG method to show that the ICVEFG method has the advantages such as greater precision and computational efficiency over the conventional meshless methods. 展开更多
关键词 meshless method complex variable moving least-squares approximation improved complex vari- able element-free Galerkin method elastoplasticity
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An improved complex variable element-free Galerkin method for two-dimensional elasticity problems 认领 引用 被引量：4
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作者 Bai Fu-Nong Li Dong-Ming +1 位作者 Wang Jian-Fei Cheng Yu-Min 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第2期56-65,共10页
In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squar... In this paper, the improved complex variable moving least-squares （ICVMLS） approximation is presented. The ICVMLS approximation has an explicit physics meaning. Compared with the complex variable moving least-squares （CVMLS） approximations presented by Cheng and Ren, the ICVMLS approximation has a great computational precision and efficiency. Based on the element-free Galerkin （EFG） method and the ICVMLS approximation, the improved complex variable element-free Galerkin （ICVEFG） method is presented for two-dimensional elasticity problems, and the corresponding formulae are obtained. Compared with the conventional EFC method, the ICVEFG method has a great computational accuracy and efficiency. For the purpose of demonstration, three selected numerical examples are solved using the ICVEFG method. 展开更多
关键词 meshless method improved complex variable moving least-squares approximation improved complex variable element-free Galerkin method elasticity
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Complex variable element-free Galerkin method for viscoelasticity problems 认领 引用 被引量：3
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作者 程玉民 李荣鑫 彭妙娟 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期60-71,共12页
Based on the complex variable moving least-square （CVMLS） approximation, the complex variable element-free Galerkin （CVEFG） method for two-dimensional viscoelasticity problems under the creep condition is presente... Based on the complex variable moving least-square （CVMLS） approximation, the complex variable element-free Galerkin （CVEFG） method for two-dimensional viscoelasticity problems under the creep condition is presented in this paper. The Galerkin weak form is employed to obtain the equation system, and the penalty method is used to apply the essential boundary conditions, then the corresponding formulae of the CVEFG method for two-dimensional viscoelasticity problems under the creep condition are obtained. Compared with the element-free Galerkin （EFG） method, with the same node distribution, the CVEFG method has higher precision, and to obtain the similar precision, the CVEFG method has greater computational efficiency. Some numerical examples are given to demonstrate the validity and the efficiency of the method. 展开更多
关键词 meshless method complex variable moving least-square approximation complex variableelement-free Galerkin method viscoelasticity
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PROSPECTS AND CRUCIAL PROBLEMS IN OLIGOMERIZATION AND POLYMERIZATION WITH IRON AND COBALT COMPLEX CATALYSTS 认领 引用 被引量：1
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作者 Su-yun Jie Wen-hua Sun Tianpengfei Xiao 《Chinese Journal of Polymer Science》 SCIE EI CAS 2010年第3期299-304,共6页
The discovery of highly active 2,6-bis(imino)pyridyl iron and cobalt complexes provided a milestone of latetransition metal catalysts for ethylene oligomerization and polymerization with being currently investigated f... The discovery of highly active 2,6-bis(imino)pyridyl iron and cobalt complexes provided a milestone of latetransition metal catalysts for ethylene oligomerization and polymerization with being currently investigated for the scale-up process.The crucial problems are remaining in the catalytic systems:the catalytic systems targeting ethylene polymerization produce more oligomers at elevated reaction temperatures,however,there is a recognizable amount of high-molecularweight polyethylene remained in the modified catalytic system for the oligomerization process.Beyond the modification of bis(imino)pyridyl metal complexes,several alternative proeatalysts'models have been developed in our group.This review highlighted the achievements in exploring new iron and cobalt complexes with tridentate NNN ligands as procatalysts for ethylene oligomerization and polymerization. 展开更多
关键词 Iron complex Cobalt complex Ethylene oligomerization Ethylene polymerization
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Analysis of variable coefficient advection-diffusion problems via complex variable reproducing kernel particle method 认领 引用 被引量：1
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作者 翁云杰 程玉民 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第9期197-202,共6页
The complex variable reproducing kernel particle method （CVRKPM） of solving two-dimensional variable coefficient advection-diffusion problems is presented in this paper. The advantage of the CVRKPM is that the shape... The complex variable reproducing kernel particle method （CVRKPM） of solving two-dimensional variable coefficient advection-diffusion problems is presented in this paper. The advantage of the CVRKPM is that the shape function of a two-dimensional problem is formed with a one-dimensional basis function. The Galerkin weak form is employed to obtain the discretized system equation, and the penalty method is used to apply the essential boundary conditions. Then the corresponding formulae of the CVRKPM for two-dimensional variable coefficient advection-diffusion problems are obtained. Two numerical examples are given to show that the method in this paper has greater accuracy and computational efficiency than the conventional meshless method such as reproducing the kernel particle method （RKPM） and the element- free Galerkin （EFG） method. 展开更多
关键词 meshless method reproducing kernel particle method （RKPM） complex variable reproducingkernel particle method （CVRKPM） advection-diffusion problem
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A complex variable meshless local Petrov-Galerkin method for transient heat conduction problems 认领 引用
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作者 王启防 戴保东 栗振锋 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第8期238-244,共7页
On the basis of the complex variable moving least-square （CVMLS） approximation, a complex variable meshless local Petrov-Galerkin （CVMLPG） method is presented for transient heat conduction problems. The method is ... On the basis of the complex variable moving least-square （CVMLS） approximation, a complex variable meshless local Petrov-Galerkin （CVMLPG） method is presented for transient heat conduction problems. The method is developed based on the CVMLS approximation for constructing shape functions at scattered points, and the Heaviside step function is used as a test function in each sub-domain to avoid the need for a domain integral in symmetric weak form. In the construction of the well-performed shape function, the trial function of a two-dimensional （2D） problem is formed with a one-dimensional （1D） basis function, thus improving computational efficiency. The numerical results are compared with the exact solutions of the problems and the finite element method （FEM）. This comparison illustrates the accuracy as well as the capability of the CVMLPG method. 展开更多
关键词 meshless method complex variable moving least-square method complex variable meshless localPetrov-Galerkin method transient heat conduction problems
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Approximate Solutions to the Discontinuous Riemann-Hilbert Problem of Elliptic Systems of First Order Complex Equations 认领 引用 被引量：1
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作者 Guochun Wen Yanhui Zhang Dechang Chen 《Applied Mathematics》 2014年第10期1546-1556,共11页
Several approximate methods have been used to find approximate solutions of elliptic systems of first order equations. One common method is the Newton imbedding approach, i.e. the parameter extension method. In this a... Several approximate methods have been used to find approximate solutions of elliptic systems of first order equations. One common method is the Newton imbedding approach, i.e. the parameter extension method. In this article, we discuss approximate solutions to discontinuous Riemann-Hilbert boundary value problems, which have various applications in mechanics and physics. We first formulate the discontinuous Riemann-Hilbert problem for elliptic systems of first order complex equations in multiply connected domains and its modified well-posedness, then use the parameter extensional method to find approximate solutions to the modified boundary value problem for elliptic complex systems of first order equations, and then provide the error estimate of approximate solutions for the discontinuous boundary value problem. 展开更多
关键词 Discontinuous Riemann-Hilbert Problem Elliptic Systems of First Order Complex Equations Esti-mates and Existence of Solutions Multiply Connected Domains
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Complex Problems Solution as a Service Based on Predictive Optimization and Tasks Orchestration in Smart Cities 认领 引用
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作者 Shabir Ahmad Jehad Ali +2 位作者 Faisal Jamil Taeg Keun Whangbo DoHyeun Kim 《Computers, Materials & Continua》 SCIE EI 2021年第10期1271-1288,共18页
Smart cities have different contradicting goals having no apparent solution.The selection of the appropriate solution,which is considered the best compromise among the candidates,is known as complex problem-solving.Sm... Smart cities have different contradicting goals having no apparent solution.The selection of the appropriate solution,which is considered the best compromise among the candidates,is known as complex problem-solving.Smart city administrators face different problems of complex nature,such as optimal energy trading in microgrids and optimal comfort index in smart homes,to mention a few.This paper proposes a novel architecture to offer complex problem solutions as a service(CPSaaS)based on predictive model optimization and optimal task orchestration to offer solutions to different problems in a smart city.Predictive model optimization uses a machine learning module and optimization objective to compute the given problem’s solutions.The task orchestration module helps decompose the complex problem in small tasks and deploy them on real-world physical sensors and actuators.The proposed architecture is hierarchical and modular,making it robust against faults and easy to maintain.The proposed architecture’s evaluation results highlight its strengths in fault tolerance,accuracy,and processing speed. 展开更多
关键词 Internet of things complex problem solving task modeling embedded IoT systems predictive optimization artificial cognition task orchestration
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A NEW MATRIX PERTURBATION METHOD FOR ANALYTICAL SOLUTION OF THE COMPLEX MODAL EIGENVALUE PROBLEM OF VISCOUSLY DAMPED LINEAR VIBRATION SYSTEMS 认领 引用
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作者 吕振华 冯振东 方传流 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第8期767-776,共10页
A new matrix perturbation analysis method is presented for efficient approximate solution of the complex modal quadratic generalized eigenvalue problem of viscously damped linear vibration systems. First, the damping ... A new matrix perturbation analysis method is presented for efficient approximate solution of the complex modal quadratic generalized eigenvalue problem of viscously damped linear vibration systems. First, the damping matrix is decomposed into the sum of a proportional-and a nonproportional-damping parts, and the solutions of the real modal eigenproblem with the proportional dampings are determined, which are a set of initial approximate solutions of the complex modal eigenproblem. Second, by taking the nonproportional-damping part as a small modification to the proportional one and using the matrix perturbation analysis method, a set of approximate solutions of the complex modal eigenvalue problem can be obtained analytically. The result is quite simple. The new method is applicable to the systems with viscous dampings-which do not deviate far away from the proportional-damping case. It is particularly important that the solution technique be also effective to the systems with heavy, but not over, dampings. The solution formulas of complex modal eigenvlaues and eigenvectors are derived up to second-order perturbation terms. The effectiveness of the perturbation algorithm is illustrated by an exemplar numerical problem with heavy dampings. In addition, the practicability of approximately estimating the complex modal eigenvalues, under the proportional-damping hypothesis, of damped vibration systems is discussed by several numerical examples. 展开更多
关键词 vibration analysis damped system complex mode quadratic eigenvalue problem matrix perturbation method
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Linear Complexity Problem of Binary Jacobi Sequence 认领 引用
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作者 YAN Tongjiang SUN Yuhua 《Wuhan University Journal of Natural Sciences》 CAS 2012年第6期481-484,共4页
This paper contributes to the stability of linear complexity of a binary periodic Jacobi sequence.By employing a pair of reference sequences,we prove that the linear complexity of a binary Jacobi sequence is unstable,... This paper contributes to the stability of linear complexity of a binary periodic Jacobi sequence.By employing a pair of reference sequences,we prove that the linear complexity of a binary Jacobi sequence is unstable,namely,by changing its few bits in one-period length,the linear complexity of the modified sequences will become far less than the required value. 展开更多
关键词 cryptography Jacobi sequence linear complexity stability of linear complexity
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The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains 认领 引用
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作者 WEN Guo-chun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第2期127-137,共11页
In this article,we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order with the boundary conditions in a multiply connected unbounded domain D.Th... In this article,we discuss that an oblique derivative boundary value problem for nonlinear uniformly elliptic complex equation of second order with the boundary conditions in a multiply connected unbounded domain D.The above boundary value problem will be called Problem P.Under certain conditions,by using the priori estimates of solutions and Leray-Schauder fixed point theorem,we can obtain some results of the solvability for the above boundary value problem（0.1） and（0.2）. 展开更多
关键词 Oblique derivative problem nonlinear elliptic complex equation multiply connected unboundeddomain.
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