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.
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页码：365 / 374
页数：10
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