Existence of solutions of inverse problems for elliptic complex equations with degenerate curve in multiple connected domains
type: Item
instance of: scholarly article
title: Existence of solutions of inverse problems for elliptic complex equations with degenerate curve in multiple connected domains
zbMATH Open document ID: 1258.35207
DOI: 10.4171/ZAA/1471
author: Wen Guochun
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2013-03-11T00:00:00Z
review text: Summary: The present paper deals with the inverse problem for degenerate elliptic systems of first order equations in multiple connected domains with Riemann-Hilbert type map. Firstly the formulation and the complex form of the problem for the degenerate elliptic systems of first order are given, and then the coefficients of the above systems are constructed by a new complex analytic method. As an application of the above results, we can derive the corresponding results of the inverse problem for degenerate elliptic equations of second order in multiple connected domains from Dirichlet to Neumann map.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35J70
zbMATH DE Number: 6143103
zbMATH Keywords: existence theorems
zbMATH Keywords: inverse problems
zbMATH Keywords: elliptic complex equations
zbMATH Keywords: degeneracy
zbMATH Keywords: multiple connected domains
MaRDI profile type: Publication
cites work: Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
cites work: The global uniqueness for determining two convection coefficients from Dirichlet to Neumann map in two dimensions
cites work: Inverse problems for partial differential equations
cites work: An introduction to the mathematical theory of inverse problems
cites work: An inverse scattering transform for the Davey-Stewartson II equations. I
cites work: On the scattering method for the -equation and reconstruction of convection coefficients
cites work: Q3281267
cites work: Q4023723
cites work: The inverse problem for linear elliptic systems of first order with Riemann–Hilbert-type map in multiply connected domains
description: scientific article; zbMATH DE number 6143103