| A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS |
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| 作者姓名： | Yan Jinhai |
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| 作者单位： | Department of Mathematics，Fudan University，Shanghai 200433，China |
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| 摘 要： | 51.IntroductionandMalnResultsLetflCR"(n=2or3)beaboundedsmoothdomainwithboundaryan=r1ur2,wherer1nr2=Oandr1,r2/O.Weconsiderthefollowingmixedinitial-boundaryvalueproblemfortheheatequation'whereH'DHCR-Risastrict1ydecreasingtunction,ustancnormalvectorattheboundary.Theboundaryconditiononr2appearsinthermistors.Howison,RodriguesandShillorl1]studiedsuchkindofboundaryvalueproblemforellipticequations.HerewesupposethatHisonto'nH=R,andwherea,bdenote,andwillalwaysdenote,varieskindofconstants.Underhy…
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| 关 键 词： | 热导方程 非线性边值问题 位势 极限行为 |
| 收稿时间： | 1993/4/19 0:00:00 |
A NONLOCAL NONLINEAR BOUNDARY VALUE
PROBLEM FOR THE HEAT EQUATIONS |
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| Yan Jinhai.A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS[J].Chinese Annals of Mathematics,Series B,1996,17(3):365-374. |
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| Authors: | Yan Jinhai |
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| Institution: | DepartmentofMathematics,FudanUniversity,Shanghai200433,China. |
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| Abstract: | 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. |
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| Keywords: | Heat equation Nonlinear boundary problem Potential Limit behavior |
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