Optimal stability for a first order coefficient in a non-self-adjoint wave equation from Dirichlet-to-Neumann map.

Autor: Mourad Bellassoued, Ibtissem Ben Aïcha
Předmět:
Zdroj: Inverse Problems; Oct2017, Vol. 33 Issue 10, p1-1, 1p
Abstrakt: This paper is focused on the study of an inverse problem for a non-self-adjoint hyperbolic equation. More precisely, we attempt to stably recover a first order coefficient appearing in a wave equation from the knowledge of Neumann boundary data. We show in dimension n greater than two, a stability estimate of Hölder type for the inverse problem under consideration. The proof involves the reduction to an auxiliary inverse problem for an electro-magnetic wave equation and the use of an appropriate Carleman estimate. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index