Time-periodic solutions of quasilinear parabolic differential equations I. Dirichlet boundary conditions

被引：25

作者：

Lieberman, GM ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 264卷 / 02期

关键词：

parabolic equations; a priori estimates; quasilinear problems; boundary value problems;

D O I：

10.1006/jmaa.2000.7145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study boundary value problems for quasilinear parabolic equations when the initial condition is replaced by periodicity in the time variable. Our approach is to relate the theory of such problems to the classical theory for initial-boundary value problems. In the process, we generalize many previously known results. (C) 2001 Elsevier Science.

引用

页码：617 / 638

页数：22

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