Journal de mathématiques appliquées et computationnelles

Average Sentinel for a Heat Equation with Incomplete Data

Abstract

Selatnia H, Berhail A and Ayadi A

In this paper, we analyse the problem of identification of the pollution term in a heat system when the dynamics of the state is governed by a parameterized operator. In this way, we introduce a notion of average sentinel. First, we prove the existence of such sentinels introduced by Lions by solving a problem of null average controllability given by Zuazua. Secondly, we identify the information for pollution terms by using the average sentinel.