Identification of two independent coefficients with one observation for a nonlinear parabolic system

Michel Cristofol; Patricia Gaitan; Hichem Ramoul; Masahiro Yamamoto

hal-00550476, version 1

Identification of two independent coefficients with one observation for a nonlinear parabolic system

Michel Cristofol ¹, Patricia Gaitan () ¹, Hichem Ramoul ², Masahiro Yamamoto ³

(2010-12-14)

Abstract: This article is devoted to prove a stability result for two independent coefficients for a $2 \times 2$ nonlinear parabolic system with only one observation. The main idea to obtain this result is to use a modified form of the Carleman estimate.

1: Laboratoire d'Analyse, Topologie, Probabilités (LATP)
CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III
2: Centre universitaire de Khenchela (CUK)
centre universitaire de Khenchela
3: Department of Mathematics
University of Tokyo

hal-00550476, version 1
http://hal.archives-ouvertes.fr/hal-00550476
oai:hal.archives-ouvertes.fr:hal-00550476
From: Patricia Gaitan <>
Submitted on: Tuesday, 28 December 2010 14:03:02
Updated on: Tuesday, 28 December 2010 17:05:05

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