On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator

被引：29

作者：

Henkin, Gennadi ^{[1
]}

Michel, Vincent ^{[1
]}

机构：

[1] Univ Paris 06, F-75252 Paris 05, France

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2007年 / 17卷 / 01期

关键词：

Riemann surface; complex Plateau problem; inverse Dirichlet to Neumann problem; BOUNDARY; MANIFOLDS; HULL;

D O I：

10.1007/s00039-006-0590-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article gives a complex analysis lighting on the problem which consists in restoring a bordered connected riemaniann surface from its boundary and its Dirichlet-Neumann operator. The three aspects of this problem, unicity, reconstruction and characterization are approached.

引用

页码：116 / 155

页数：40

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