Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615703 | Journal of Mathematical Analysis and Applications | 2014 | 37 Pages |
Abstract
This paper considers to the equationâ«SU(Q)|PâQ|Nâ1dS(Q)=F(P),PâS, where the surface S is the graph of a Lipschitz function Ï on RN, which has a small Lipschitz constant. The integral on the left-hand side is the single layer potential corresponding to the Laplacian in RN+1. Let Î(r) be the Lipschitz constant of Ï on the ball centered at the origin with radius 2r. Our analysis is carried out in local Lp-spaces and local Sobolev spaces, where 1
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladimir Kozlov, Johan Thim, Bengt Ove Turesson,