|
| |
A NONLOCAL NONLINEAR BOUNDARY VALUEPROBLEM FOR THE HEAT EQUATIONS |
| |
Citation: |
Yan Jinhai.A NONLOCAL NONLINEAR BOUNDARY VALUEPROBLEM FOR THE HEAT EQUATIONS[J].Chinese Annals of Mathematics B,1996,17(3):365~374 |
Page view: 0
Net amount: 672 |
Authors: |
Yan Jinhai; |
|
|
Abstract: |
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. |
Keywords: |
Heat equation, Nonlinear boundary problem, Potential,
Limit behavior |
Classification: |
35K60 |
|
Download PDF Full-Text
|
|
|
|