A nonlocal nonlinear boundary value problem for the heat equations

被引：0

作者：

Yan, JH ^{[1
]}

机构：

[1] FUDAN UNIV,DEPT MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1996年 / 17卷 / 03期

关键词：

heat equation; nonlinear boundary problem; potential; limit behavior;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundary value condition on a part of the boundary is studied for the heat equation, which physically means that the potential is the function of the total flux. When this part of boundary shrinks to a point in a certain way, this condition either results in a Dirac measure or simply disappears in the corresponding problem.

引用

页码：365 / 374

页数：10

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