Lipschitz stability for linear parabolic systems with interior degeneracy

Abstract

In this article, we study an inverse problem for linear degenerate parabolic systems with one force. We establish Lipschitz stability for the source term from measurements of one component of the solution at a positive time and on a subset of the space domain, which contains degeneracy points. The key ingredient is the derivation of a Carleman-type estimate.

Keywords

• Parabolic system
• interior degeneracy
• Carleman estimates
• Lipschitz stability