Regularity of a free boundary problem

被引：0
|
作者：
Lavi Karp
Henrik Shahgholian
机构：
[1] Ort Braude College Campus,Department of Applied Mathematics
[2] Technion - Israel Institute of Technology,Department of Mathematics
[3] Royal Institute of Technology,Department of Mathematics
来源：
The Journal of Geometric Analysis | 1999年 / 9卷 / 4期
关键词：
35R35; 35J85; 31A25; Newtonian potential; analytic (harmonic) continuation; modulus of continuity; global equation; blow up;
D O I：
10.1007/BF02921977
中图分类号：
学科分类号：
摘要：
Let u be the Newtonian potential of a real analytic distribution in an open set Ω. In this paper we assume u is analytically continuable from the complement of Ω into some neighborhood of a point x0 ∈ ∂Ω, and we study conditions under which the analytic continuation implies that ∂Ω is a real analytic hypersurface in some neighborhood of x0.
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页码：653 / 669
页数：16
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