Solvability of a boundary integral equation on a polyhedron

被引：0

作者：

Grachev N.V. ^{[1
,2
]}

Maz'ya V.G. ^{[1
,2
]}

机构：

[1] Department of Mathematical Sciences, MandO Building, University of Liverpool, Liverpool

[2] Department of Mathematics, Linköping University

来源：

Journal of Mathematical Sciences | 2013年 / 191卷 / 2期

关键词：

Integral Equation; Dihedral Angle; Dirichlet Problem; Potential Theory; Neumann Problem;

D O I：

10.1007/s10958-013-1312-y

中图分类号：

学科分类号：

摘要：

The boundary integral equation associated with the Dirichlet problem for the Laplace equation on a polyhedral domain is considered. Pointwise estimates for the kernel of the inverse operator are derived. As a consequence, the solvability of the integral equation in the space of continuous functions and in a weighted Lp-space is obtained. Bibliography: 24 titles. © 2013 Springer Science+Business Media New York.

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页码：193 / 213

页数：20

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