摘要
本文讨论一类带有非线性边界条件的拟线性抛物型方程解的大时间性态,给出了解整体存在的充分必要条件.
In this paper, we deal with the long time behaviors of solutions for some quasilinear parabolic equations with nonlinear boundary conditions. The necessary and sufficient conditions on the global existence of solutions are obtained.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1996年第1期118-124,共7页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目.
关键词
抛物型方程
非线性边界条件
整体解
拟线性
parabolic equations, nonlinear boundary conditions, global solutions, blowing up