SYMMETRIES IN AN OVERDETERMINED PROBLEM FOR THE GREEN'S FUNCTION

被引：18

作者：

Agostiniani, Virginia ^{[1
]}

Magnanini, Rolando ^{[2
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2011年 / 4卷 / 04期

关键词：

Overdetermined boundary values problems; Green's function; symmetries;

D O I：

10.3934/dcdss.2011.4.791

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider in the plane the problem of reconstructing a domain from the normal derivative of its Green's function with pole at a fixed point in the domain. By means of the theory of conformal mappings, we obtain existence, uniqueness, (non-spherical) symmetry results, and a formula relating the curvature of the boundary of the domain to the normal derivative of its Green's function.

引用

页码：791 / 800

页数：10

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