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
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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

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