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.
引用
收藏
页码：193 / 213
页数：20
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