Identification of two coefficients with data of one component for a nonlinear parabolic system

Abstract

In this article, we consider a nonlinear parabolic system with two components and prove a stability estimate of Lipschitz type in determining two coefficients of the system by data of only one component. The main idea for the proof is a Carleman estimate.

Keywords:

• parabolic systems
• inverse problem
• Carleman estimate
• Lipschitz stability estimate

AMS Subject Classifications:

• 35K40
• 35K55
• 35K57

Acknowledgement

This work was supported by the JSPS-CNRS Bilateral Joint Project.