POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

doi:10.1016/S0252-9602(06)60093-3

数学物理学报(英文版)

POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

娄本东

同济大学应用数学系, 上海 200092

收稿日期:2003-09-29 修回日期:1900-01-01 出版日期:2006-10-20 发布日期:2006-10-20
通讯作者: 娄本东
基金资助:
Partially supported by the project-sponsored by SRF for ROCS, SEM

POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

Lou Bendong

Department of Applied Mathematics, Tongji University, Shanghai 200092, China

Received:2003-09-29 Revised:1900-01-01 Online:2006-10-20 Published:2006-10-20
Contact: Lou Bendong

摘要/Abstract

摘要：

The author studies semilinear parabolic equations with initial and periodic boundary value conditions. In the presence of non-well-ordered sub- and
super-solutions: ``subsolution ≮ supersolution", the existence and stability/instability of equilibrium solutions are obtained.

关键词: Semilinear parabolic equation, equilibrium solution, subsolution, supersolution

Abstract:

Key words: Semilinear parabolic equation, equilibrium solution, subsolution, supersolution

中图分类号:

34B18

娄本东. POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS[J]. 数学物理学报(英文版), 2006, 26(4): 670-678.

Lou Bendong. POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS[J]. Acta mathematica scientia,Series B, 2006, 26(4): 670-678.

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POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS

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