ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS  

作　　者：汤燕斌 周笠 Omer Ali 

机构地区：[1]Department of Mathematics,Sudan University of Science and Technology, Khartoum,P.O.Box 407,Sudan

出　　处：《Acta Mathematica Scientia》2004年第2期307-312,共6页数学物理学报（B辑英文版）

基　　金：The project is supported by National Natural Science Foundation of China (10071026)

摘　　要：The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding steady state solutions. Then, the above results are extended to a semilinear parabolic equation with nonlinear boundary condition by analyzing the corresponding eigenvalue problem and using the method of upper and lower solutions.The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding steady state solutions. Then, the above results are extended to a semilinear parabolic equation with nonlinear boundary condition by analyzing the corresponding eigenvalue problem and using the method of upper and lower solutions.

关 键 词：Asymptotic behavior heat equation nonlinear boundary condition upper and lower solutions 

分 类 号：O411.1[理学—理论物理]