Uniqueness in one inverse problem for the elasticity system

No Thumbnail Available
Authors
Bukhgeım, A. L.
Dyatlov, G. V.
Kardakov, V. B.
Tantserev, E. V.
Advisors
Issue Date
2004-07
Type
Article
Keywords
Research Projects
Organizational Units
Journal Issue
Citation
Bukhgeim, A. L., G. V. Dyatlov, et al. (2004). "Uniqueness in One Inverse Problem for the Elasticity System." Siberian Mathematical Journal, July 2004, Volume 45, Issue 4, pp 618-627
Abstract

We consider an inverse problem for the stationary elasticity system with constant Lam´e coefficients and a variable matrix coefficient depending on the spatial variables and frequency. The right-hand side contains a delta-function whose support (source) varies in some domain disjoint from the support of the variable coefficient. The inverse problem is to find the coefficient from the scattered wave measured at the same point at which the perturbation originates. A uniqueness theorem is proven. The proof bases on reduction of the inverse problem to a family of equations with the M. Riesz potential.

Table of Contents
Description
Click on the DOI link to access the article (may not be free)
Translated from Russian.
Publisher
Plenum Publishing Corporation
Journal
Book Title
Series
Siberian Mathematical Journal;v.45 no.4
PubMed ID
DOI
ISSN
0037-4466
1573-9260
EISSN