Two-phase quadrature domains

被引：10

作者：

Gardiner, Stephen J. ^{[1
]}

Sjodin, Tomas ^{[2
]}

机构：

[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

[2] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2012年 / 116卷

关键词：

Harmonic Function; Compact Support; Subharmonic Function; Quadrature Domain; Superharmonic Function;

D O I：

10.1007/s11854-012-0009-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recent work on two-phase free boundary problems has led to the investigation of a new type of quadrature domain for harmonic functions. This paper develops a method of constructing such quadrature domains based on the technique of partial balayage, which has proved to be a useful tool in the study of one-phase quadrature domains and Hele-Shaw flows.

引用

页码：335 / 354

页数：20

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