POSITIVE EQUILIBRIUM SOLUTIONS OF SEMILINEAR PARABOLIC EQUATIONS  

作　　者：娄本东 

机构地区：[1]Department of Applied Mathematics Tongji University,Shanghai 200092,China

出　　处：《Acta Mathematica Scientia》2006年第4期670-678,共9页数学物理学报（B辑英文版）

基　　金：Partially supported by the project-sponsored by SRF for ROCS, SEM

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.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 

分 类 号：O175.26[理学—数学]