English

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

Complex Variables 2007-05-23 v6 Analysis of PDEs Classical Analysis and ODEs

Abstract

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.

Keywords

Cite

@article{arxiv.math/0505321,
  title  = {On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator},
  author = {Gennadi Henkin and Vincent Michel},
  journal= {arXiv preprint arXiv:math/0505321},
  year   = {2007}
}

Comments

The different issues correspond only to slight misprint corrections