Discriminating Sentinel for Parabolic Evolution System Gouverned by the Cauchy-Fourier Problem at Incomplete Data
Authors: Sadou Tao and Ousseynou Nakoulima
Abstract: In this paper we prove by means of adapted Carleman inequalities that the null controllability problem for a linear heat equation with Fourier boundary condition and constraint on the control holds. Then we apply the results to detect the pollution in a problem of pollution governed by a semilinear parabolic equation with Fourier boundary condition. The information on the pollution is obtained by means discriminating sentinels introduced by J.L. Lions in in .