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A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS

A NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEM FOR THE HEAT EQUATIONS
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摘要 The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundaryvalue condition on a part of the boundary is studied for the heat equation, which physicallymeans that the potential is the function of the total flux. When this part of boundary shrinksto a point in a certain wayt this condition either results in a Dirac measure or simply disappearsin the corresponding problem.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1996年第3期365-374,共10页 数学年刊(B辑英文版)
关键词 Heat equation Nonlinear boundary problem POTENTIAL Limit behavior 热导方程 非线性边值问题 位势 极限行为
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