Skip to main content

Lipschitz stability in an inverse problem for a hyperbolic equation with a finite set of boundary data

Buy Article:

$60.90 plus tax (Refund Policy)


We consider an inverse problem of determining multiple coefficients of principal part of a scalar hyperbolic equation with Dirichlet boundary data. We prove the uniqueness and a Lipschitz stability estimate in the inverse problem with some observations on a suitable sub-boundary satisfying an appropriate geometrical condition. The key is a Carleman estimate for a hyperbolic operator with variable coefficients.

Keywords: Lipschitz stability; anisotropic media; inverse hyperbolic problems

Document Type: Research Article


Affiliations: 1: Faculte des Sciences de Bizerte, Department des Mathematiques, University of Carthage, Tunisia 2: Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

Publication date: 2008-10-01

More about this publication?
  • Access Key
  • Free ContentFree content
  • Partial Free ContentPartial Free content
  • New ContentNew content
  • Open Access ContentOpen access content
  • Partial Open Access ContentPartial Open access content
  • Subscribed ContentSubscribed content
  • Partial Subscribed ContentPartial Subscribed content
  • Free Trial ContentFree trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more