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

By Gennadi Henkin and Vincent Michel

Abstract

The different issues correspond only to slight misprint corrections.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

Topics: Dirichlet-Neumann operator, EIT, Plateau problem, Primary 58J32, 32C25; Secondary 35R30, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA]
Publisher: HAL CCSD
Year: 2005
OAI identifier: oai:HAL:hal-00004910v6
Provided by: Hal-Diderot
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