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APPLICATIONS OF LAYER POTENTIAL METHOD TO BOUNDARY VALUE PROBLEMS FOR GENERAL ELLIPTIC AND PARABOLIC EQUATIONS ON LIPSCHITZ DOMAINS
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作者：
高文杰
机构：
[1] Institute of Mathematics Jilin University
[2] Changchun
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APPLICATIONS OF LAYER POTENTIAL METHOD TO BOUNDARY VALUE PROBLEMS FOR GENERAL ELLIPTIC AND PARABOLIC EQUATIONS ON LIPSCHITZ DOMAINS;
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摘要：
<正> For D a Lipschitz domain in R~n, we mean that, for simplicity, D is a domain over the graph of a Lips-chitz function, we use D to denote the boundary of D. We study the general elliptic equationaijDiD)ju=0 （1）with Dirichlet boundary datau=g on D,（2）or the Neumann boundary dataaijNiDju = g on D, （3）where N = （N1,…,N_n） is the normal direction of ( D, aij' s are constants satisfying the usual ellipticity con-dition and symmetry condition. Denoting DT = Dx（O,T）, ST= Dx（O,T）, we also study the generalparabolic equation
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页码：15 / 15
页数：1
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