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SEMI-LINEAR: 作品数：64被引量：59H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：康国莲更多>>; 相关机构：中国科学院数学与系统科学研究院纽约大学更多>>; 相关期刊：《Science Bulletin》《Intelligent Control and Automation》《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金美国国家自然科学基金更多>>

JERISON-LEE IDENTITIES AND SEMI-LINEAR SUBELLIPTIC EQUATIONS ON HEISENBERG GROUP: 《Acta Mathematica Scientia》2025年第1期264-279,共16页Xinan MA Qianzhong OU Tian WU; supported by the National Natural Science Foundation of China(12141105,12471194);the first author’s research also was supported by the National Key Research and Development Project(SQ2020YFA070080).; In the study of the extremal for Sobolev inequality on the Heisenberg group and the Cauchy-Riemann(CR)Yamabe problem,Jerison-Lee found a three-dimensional family of differential identities for critical exponent subell...; 关键词：Cauchy-Riemann Yamabe problem subelliptic equations Jerison-Lee identities

A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent: 《Science China Mathematics》2023年第9期1965-1992,共28页Xusheng Du Hui Yang; We study positive solutions to the fractional semi-linear elliptic equation(−∆)σu=K(x)u n+2σn−2σin B2\{0}with an isolated singularity at the origin,where K is a positive function on B2,the punctured ball B2\{0}⊂Rn ...; 关键词：fractional elliptic equations boundary mean curvature equations local estimates large singular solutions

Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions被引量：1: 《Advances in Applied Mathematics and Mechanics》2022年第4期842-870,共29页Quanxiang Wang Liqun Wang Jianqiang Xie; supported by the National Natural Science Foundation of China Nos.11701283,12171482;the Fundamental Research Funds for the Central Universities No.KJQN201839;Science Foundation of China University of Petroleum(Beijing)No.2462020XKJS02.; In this paper,we propose an immersed finite volume element method for solving the semi-linear elliptic interface problems with non-homogeneous jump conditions.Furthermore,two-grid techniques are used to improve the co...; 关键词：Two-grid immersed finite volume element Cartesian mesh SEMI-LINEAR NONHOMOGENEOUS

CONVERGENCE AND MEAN-SQUARE STABILITY OF EXPONENTIAL EULER METHOD FOR SEMI-LINEAR STOCHASTIC DELAY INTEGRO-DIFFERENTIAL EQUATIONS: 《Journal of Computational Mathematics》2022年第2期177-204,共28页Haiyan Yuan; This research is supported by National Natural Science Foundation of China(Project No.11901173);by the Heilongjiang province Natural Science Foundation(LH2019A030);by the Heilongjiang province Innovation Talent Foundation(2018CX17).; In this paper,the numerical methods for semi-linear stochastic delay integro-difFerential equations are studied.The uniqueness,existence and stability of analytic solutions of semi-linear stochastic delay integro-diff...; 关键词：Semi-linear stochastic delay integro-differential equation Exponential Euler method Mean-square exponential stability Trapezoidal rule

Blow-Up Result for a Semi-Linear Wave Equation with a Nonlinear Memory Term of Derivative Type被引量：1: 《Chinese Quarterly Journal of Mathematics》2021年第3期235-243,共9页OUYANG Bai-ping XIAO Sheng-zhong; Supported by the Natural Science Foundation of China(Grant No.11371175);Innovation Team Project in Colleges and Universities of Guangdong Province(Grant No.2020WCXTD008);Science Foundation of Huashang College Guangdong University of Finance&Economics(Grant No.2020HSDS01);Science Research Team Project in Guangzhou Huashang College(Grant No.2021HSKT01).; In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-...; 关键词：Semi-linear wave equation BLOW-UP Nonlinear memory term of derivative type Lifespan

S-ASYMPTOTICALLY BLOCH TYPE PERIODIC SOLUTIONS TO SOME SEMI-LINEAR EVOLUTION EQUATIONS IN BANACH SPACES被引量：1: 《Acta Mathematica Scientia》2021年第2期413-425,共13页Yong-Kui CHANG Yanyan WEI; supported by NSF of Shaanxi Province(2020JM-183).; This paper is mainly concerned with the S-asymptotically Bloch type periodicity.Firstly,we introduce a new notion of S-asymptotically Bloch type periodic functions,which can be seen as a generalization of concepts of ...; 关键词：S-asymptotically Bloch type periodic functions S-asymptoticallyωantiperiodic functions evolution equations

ON THE EXISTENCE WITH EXPONENTIAL DECAY AND THE BLOW-UP OF SOLUTIONS FOR COUPLED SYSTEMS OF SEMI-LINEAR CORNER-DEGENERATE PARABOLIC EQUATIONS WITH SINGULAR POTENTIALS: 《Acta Mathematica Scientia》2021年第1期257-282,共26页Hua CHEN Nian LIU; supported by NFSC(11871387 and 11931012)。; In this article,we study the initial boundary value problem of coupled semi-linear degenerate parabolic equations with a singular potential term on manifolds with corner singularities.Firstly,we introduce the corner t...; 关键词：coupled parabolic equations totally characteristic degeneracy singular potentials asymptotic stability BLOW-UP

An Alternative Way of Utilizing Fixed Point Theory: 《Chinese Annals of Mathematics,Series B》2020年第6期861-872,共12页Dapeng DU; The author proposes an alternative way of using fixed point theory to get the existence for semilinear equations.As an example,a nonlocal ordinary differential equation is considered.The idea is to solve homogeneous e...; 关键词：EXISTENCE Semi-linear equations Fixed point theory Homogeneous linearization

Semi-Linear Fractionalσ-Evolution Equations with Nonlinear Memory: 《Journal of Partial Differential Equations》2020年第4期291-312,共22页KAINANE MEZADEK Abdelatif; The research of this article is supported by the DAAD,Erasmus+Project between the Hassiba Benbouali University of Chlef(Algeria)and TU Bergakademie Freiberg,2015-1-DE01-KA107-002026; In this paper we study the local or global(in time)existence of small data solutions to semi-linear fractionalσ-evolution equations with nonlinear memory.Our main goals is to explain on the one hand the influence of ...; 关键词：Fractional equations σ-evolution equations global in time existence small data solutions nonlinear memory

Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2019年第11期1657-1676,共20页Yang WANG Yanping CHEN Yunqing HUANG Ying LIU; Project supported by the National Natural Science Foundation of China(Nos.11671157 and11826212); In this paper,two-grid immersed finite element (IFE) algorithms are proposed and analyzed for semi-linear interface problems with discontinuous diffusion coefficients in two dimension.Because of the advantages of fini...; 关键词：two-grid METHOD INTERFACE PROBLEM FINITE ELEMENT METHOD immersed INTERFACE

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