Global existence and decreasing property of boundary values of solutions to parabolic equations with nonlocal boundary conditions

被引：13

作者：

Seo, S ^{[1
]}

机构：

[1] Seoul Natl Univ, Seoul 151742, South Korea

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2000年 / 193卷 / 01期

关键词：

D O I：

10.2140/pjm.2000.193.219

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the local solution of parabolic equation with nonlocal boundary condition representing entropy can be extended to whole time domain for weights with large L-1 norms. When the weight is identically zero on some part of the boundary, it is shown that the boundary values can decrease even when the other weights are some large.

引用

页码：219 / 226

页数：8

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