Laure Cardoulis

Applications of Carleman inequalities for a two-by-two parabolic system in an unbounded guide

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 72, 49 - 71 (2019/2020)
MSC: 35K05   Heat equation
35R30   Inverse problems for PDEs

Abstract:   In this article we consider the inverse problem of determining some of the coefficients of a two-by-two parabolic system defined on an unbounded guide. Using an adapted Carleman estimate, we establish local stability results for at least two coefficients of this system in any finite portion of the guide. These estimates are obtained with data of the solution at a fixed time and boundary measurements for observations.

Keywords:   inverse problems, Carleman inequalities, heat operator, system, unbounded guide
Seite generiert am 24.02.2021