A one dimensional heat equation with mixed boundary conditions

被引：6
|
作者：
Bonfim, V [1 ]
Neves, AF [1 ]
机构：
[1] UNICAMP,IMECC,BR-13081970 CAMPINAS,SP,BRAZIL
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1997年 / 139卷 / 02期
关键词：
D O I：
10.1006/jdeq.1997.3299
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a nonlinear one dimensional heat equation with nonmonotone perturbation and with mixed boundary conditions that can even be discontinuous. We show that we can balance these two main difficulties in order to obtain existence of globally defined strong solutions for this class of problems. The main tools used are the Theory of Monotone Operators and the Galerkin Method. (C) 1997 Academic Press.
引用
收藏
页码：319 / 338
页数：20
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