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ON THE priori estimate OF MAXIMUM MODULUS OF SOLUTIONS TO A SYSTEM OF DIAGONALLY DEGENERATE ELLIPTIC EQUATIONS

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Journal of Systems Science & Complexity 2003年第4期16卷 446-452页

作者： WANG Xiangdong RONG Haiwu LIANG Xiting (Mathematics Department of Foshan University, Foshan 528000, China) Mathematics Department of Foshan University Foshan 528000

In this paper we first give an a priori estimate of maximum modulus ofsolutions for a class of systems of diagonally degenerate elliptic equations in the case of p > 2.

关键词： system of diagonally degenerate elliptic equations generalized solution priori estimate

EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS

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Applied Mathematics and Mechanics(English Edition) 2003年第6期24卷 673-683页

作者：房少梅郭柏灵 Department of Mathematics Shaoguan University Shaoguan Institute of Applied Physics and Computational Mathematics

The time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary condition was studied. By using the Galerkin method to construct the approximating sequence of time periodic solutions, a priori estimate and Laray_Schauder fixed point theorem to prove the convergence of the approximate solutions, the existence of time periodic solutions for a damped generalized coupled nonlinear wave equations can be obtained.

关键词： nonlinear wave equations priori estimate time periodic solution

Rotationally Symmetric Translating Solutions to Curvature Flows in Image Processing

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Tsinghua Science and Technology 2005年第3期10卷 404-407页

作者：刘庆华陈秀卿 Department of Mathematical Sciences Tsinghua University Beijing 100084 China

This paper proves the existence of rotationally symmetric solutions to a curvature flow in image processing. The flow includes the level sets flow and the mean curvature flow projected onto the normal. Sharp estimates... 详细信息

关键词： level sets flow mean curvature flow singular ordinary differential equation priori estimate rotationally symmetry

NONTRIVIAL EQUILIBRIUM SOLUTIONS FOR A SEMILINEAR REACTION-DIFFUSION SYSTEM

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Applied Mathematics and Mechanics(English Edition) 2004年第12期25卷 1382-1389页

作者：顾永耕孙文俊 Department of Mathematics Hunan Normal University Changsha 410081 P.R.China Academy of Mathematics and Systems Sciences CAS Beijing 100080 P.R.China

By the degree theory on positive cone together with the technique of a priori estimate, the nontrivial equilibrium solutions of a strong nonlinearity and weak coupling reaction diffusion system and the structure of t... 详细信息

关键词： semilinear reaction-diffusion system equilibrium solution priori estimate

Boundedness of Solutions for Elliptic Variational Inequalities

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Chinese Quarterly Journal of Mathematics 1996年第1期11卷 56-62页

作者： Ye Ruifen(Department of Mathematics, Guangzhou Teachers’ College, 510400)

The boundedness is proved under more general structural conditions to solutions of elliptic variational inequalities and a priori estimates are obtained to maximum modulus of solutions for some special cases.

关键词： elliptic variational inequality generalized solution bounded solution:maximum modulus priori estimate

Initial-boundary value problem of one class of nonlinear Schrdinger equations described in molecular crystals

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Applied Mathematics and Mechanics(English Edition) 2008年第2期29卷 139-144页

作者：房少梅郭柏灵 Department of Mathematics South China Agricultural University Department of Mathematics Shaoguan UniversityShaoguan 512005 Guangdong ProvinceP.R.China Institute of Applied Physics and Computational Mathematics

In this paper, we study the initiial-boundary value problem of one class of nonlinear Schrodinger equations described in molecular crystals. Furthermore, the existence of the global solution is obtained by means of in... 详细信息

关键词： nonlinear Schrodinger equations initial-boundary value problem priori estimate global solution

The Existence of Global Attractor for Zakharov Equations Arising from Ion-acoustic Modes

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Chinese Quarterly Journal of Mathematics 2011年第3期26卷 470-474页

作者： FANG Shao-mei QIU Hua GUO Bo-ling Department of Mathematics South China Agricultural University Guangzhou 510642 China Institute of Applied Physics and Computational Mathematics Beijina 100088 China

In this paper,we consider the initial-boundary problem for Zakharov equations arising from ion-acoustic modes and obtain the existence of global attractor for the initialboundary problem for Zakharov equations.

关键词： Zakharov equations initial-boundary problem priori estimate global attractor