Inverse Dirichlet-to-Neumann problem for nodal curves

Inverse Dirichlet-to-Neumann problem for nodal curves

This paper proposes direct and inverse results for the Dirichlet and Dirichlet-to-Neumann problems for complex curves with nodal type singularities. As an application, it gives a method for reconstructing the conformal structure of a compact surface of R super(3) with constant scalar conductivity fr...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Russian mathematical surveys 2012-01, Vol.67 (6), p.1069-1089
Hauptverfasser: Henkin, Gennadi M, Michel, Vincent
Format: Artikel
Sprache:eng
Schlagworte:
Constants
Density measurement
Dirichlet problem
Electric current
Inverse
Mathematical analysis
Scalars
Singularities
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper proposes direct and inverse results for the Dirichlet and Dirichlet-to-Neumann problems for complex curves with nodal type singularities. As an application, it gives a method for reconstructing the conformal structure of a compact surface of R super(3) with constant scalar conductivity from electric current density measurements in a neighbourhood of one of its points.
ISSN:0036-0279
1468-4829
DOI:10.1070/RM2012v067n06ABEH004818