Stability estimate for an inverse acoustic backscattering problem
Resource
Inverse Problems, Vol. 14 (1998), 733-743
Journal
Inverse Problems
Journal Volume
14
Journal Issue
1
Pages
197-207
Date Issued
1998
Author(s)
Wang, J.-N.
Abstract
We prove a stability estimate for an inverse acoustic backscattering problem. This inverse problem consists of the determination of the sound speed, which is in the principal part of the equation, by the backscattering data. Previously, the stability estimates for inverse problems dealing with the unknown coefficient in the principal part of the equation were of logarithmic or Hölder type. Here we are able to obtain a Lipschitz-type estimate for this inverse backscattering problem.
Type
journal article