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SEMILINEAR: 作品数：197被引量：162H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：林明涛曾有栋王文吕忠于秀兰更多>>; 相关机构：东南大学贵州大学杭州大学中国科学技术大学更多>>; 相关期刊：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国家教育部博士点基金更多>>

ERROR ANALYSIS OF THE SECOND-ORDER SERENDIPITY VIRTUAL ELEMENT METHOD FOR SEMILINEAR PSEUDO-PARABOLIC EQUATIONS ON CURVED DOMAINS: 《Journal of Computational Mathematics》2024年第6期1743-1776,共34页Yang Xu Zhenguo Zhou Jingjun Zhao; supported by the National Natural Science Foundation of China(Grant No.12071100);by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060019).; The second-order serendipity virtual element method is studied for the semilinear pseudo-parabolic equations on curved domains in this paper.Nonhomogeneous Dirichlet boundary conditions are taken into account,the exis...; 关键词：Semilinear pseudo-parabolic equation Serendipity virtual element method Projection method Curved domain

ASYMPTOTIC BEHAVIOR NEAR THE BOUNDARY OF A LARGE SOLUTION TO SEMILINEAR POISSON EQUATION WITH DOUBLE-POWER NONLINEARITY: 《Acta Mathematica Scientia》2024年第6期2083-2098,共16页Kazuhiro TAKIMOTO Yuxiao ZHANG; supported by the JSPS KAKENHI(JP22K03386);supported by the JST SPRING(JPMJSP2132)。; We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearityΔ^(u)=u^(p)+αu^(q)in a bounded smooth domain D■R^(n),where p>1,-1; 关键词：large solution semilinear Poisson equation double-power nonlinearity ASYMPTOTICBEHAVIOR

A BICUBIC B-SPLINE FINITE ELEMENT METHOD FOR FOURTH-ORDER SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS: 《Acta Mathematica Scientia》2024年第6期2411-2421,共11页Fangfang DU Tongjun SUN; supported by the National Natural Science Foundation of China(11871312,12131014);the Natural Science Foundation of Shandong Province,China(ZR2023MA086)。; A bicubic B-spline finite element method is proposed to solve optimal control problems governed by fourth-order semilinear parabolic partial differential equations.Its key feature is the selection of bicubic B-splines...; 关键词：bicubic B-spline finite element method optimal control problem Bogner-Fox-Schmit element Crank-Nicolson scheme numerical experiment

Exact controllability of mild solutions for a class of semilinear differential equations: 《Frontiers of Mathematics in China》2024年第6期357-366,共10页Jianli LI Lizhen CHEN Gang LI; In this paper,by using the noncompact measure,we study the exact controllability of mild solutions for semilinear differential equation when the nonlocal term is Lipschitz continuous in general Banach space.Here,the r...; 关键词：EXACT CONTROLLABILITY noncompact MEASURE SEMILINEAR DIFFERENTIAL equation NONLOCAL condition

Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data: 《Science China Mathematics》2024年第12期2873-2898,共26页Xinping Gui Buyang Li Jilu Wang; supported by National Natural Science Foundation of China(Grant Nos.12071020,12131005 and U2230402);the Research Grants Council of Hong Kong(Grant No.Poly U15300519);an Internal Grant of The Hong Kong Polytechnic University(Grant No.P0038843,Work Programme:ZVX7)。; A class of stochastic Besov spaces BpL^(2)(Ω;˙H^(α)(O)),1≤p≤∞andα∈[−2,2],is introduced to characterize the regularity of the noise in the semilinear stochastic heat equation du−Δudt=f(u)dt+dW(t),under the fol...; 关键词：semilinear stochastic heat equation additive noise space-time white noise exponential Euler method spectral method strong convergence stochastic Besov space real interpolation

Controllability of Semilinear Integrodifferential Degenerate Sobolev Equations: 《Journal of Systems Science & Complexity》2024年第5期1923-1936,共14页GE Zhaoqiang; supported by the National Natural Science Foundation of China under Grant Nos.12126401 and 11926402。; In this paper,the approximate controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions is investigated in the sense of integral solution in Hilbert spaces.Some sufficient...; 关键词：Approximate controllability GE-evolution operator integral solution Sadovskii’s fixed point theorem semilinear integrodifferential degenerate Sobolev equations

THE RADIAL SYMMETRY OF POSITIVE SOLUTIONS FOR SEMILINEAR PROBLEMS INVOLVING WEIGHTED FRACTIONAL LAPLACIANS: 《Acta Mathematica Scientia》2024年第3期1020-1035,共16页王英邱妍静尹青苹; supported by the NSFC(12001252);the Jiangxi Provincial Natural Science Foundation(20232ACB211001)。; This paper deals with the radial symmetry of positive solutions to the nonlocal problem(-Δ)_(γ)~su=b(x)f(u)in B_(1){0},u=h in R~N B_(1),where b:B_1→R is locally Holder continuous,radially symmetric and decreasing i...; 关键词：radial symmetry fractional Laplacian method of moving planes

BLOW-UP CONDITIONS FOR A SEMILINEAR PARABOLIC SYSTEM ON LOCALLY FINITE GRAPHS: 《Acta Mathematica Scientia》2024年第2期609-631,共23页吴艺婷; supported by the Zhejiang Provincial Natural Science Foundation of China(LY21A010016);the National Natural Science Foundation of China(11901550).; In this paper, we investigate a blow-up phenomenon for a semilinear parabolic system on locally finite graphs. Under some appropriate assumptions on the curvature condition CDE’(n,0), the polynomial volume growth of ...; 关键词：semilinear parabolic system on graphs BLOW-UP heat kernel estimate on graphs

本刊英文版2024年67卷第3期(475-712)摘要: 《中国科学：数学》2024年第3期I0003-I0006,共4页; Multiplicity of solutions for the semilinear subelliptic Dirichlet problem Hua Chen,Hong-Ge Chen,Jin-Ning Li&Xin Liao Abstract In this paper,we study the semilinear subelliptic equation■where■self-adjoint Hormander ...; 关键词：ELLIPTIC SEMILINEAR satisfying

Multiplicity of solutions for the semilinear subelliptic Dirichlet problem: 《Science China Mathematics》2024年第3期475-504,共30页Hua Chen Hong-Ge Chen Jin-Ning Li Xin Liao; supported by National Natural Science Foundation of China(Grant No.12131017);supported by National Natural Science Foundation of China(Grant No.12201607);National Key R&D Program of China(Grant No.2022YFA1005602);Knowledge Innovation Program of Wuhan-Shuguang Project(Grant No.2023010201020286);China Postdoctoral Science Foundation(Grant No.2023T160655);supported by China National Postdoctoral Program for Innovative Talents(Grant No.BX20230270)。; In this paper,we study the semilinear subelliptic equation{−△Xu=f(x,u)+g(x,u)inΩ,u=0 on∂Ω,where△X=−∑m i=1 Xi∗Xi is the self-adjoint Hormander operator associated with the vector fields X=(X_(1),X_(2),...,X_(m))sati...; 关键词：degenerate elliptic equations Hormander operators perturbation method Morse index

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