数学物理学报(英文版)
數學物理學報(英文版)
수학물이학보(영문판)
Acta Mathematica Scientia
2004年
2期
307-312
,共6页
汤燕斌%周笠%Omer Ali
湯燕斌%週笠%Omer Ali
탕연빈%주립%Omer Ali
Asymptotic behavior%heat equation%nonlinear boundary condition%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.
