September  2006, 5(3): 447-462. doi: 10.3934/cpaa.2006.5.447

Stable determination of a semilinear term in a parabolic equation

1. 

Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz cedex, France

2. 

Laboratoire Bordelais d'Analyse et Géométrie, Université Bordeaux 1, 351, cours de la Libération 33405 Talence cedex, France

3. 

Graduate School of Mathematical Sciences University of Tokyo, 3-8-1 Komaba, Tokyo, 153-8914, Japan

Received  April 2005 Revised  December 2005 Published  June 2006

In [5] the first and third authors establish Hölder type stability estimates for the inverse problem consisting in the determination of a semilinear term of a parabolic equation from a single boundary measurement when the domain is a rectangle. In the present paper we extend the results in [5] for a general smooth domain.
Citation: Mourad Choulli, El Maati Ouhabaz, Masahiro Yamamoto. Stable determination of a semilinear term in a parabolic equation. Communications on Pure & Applied Analysis, 2006, 5 (3) : 447-462. doi: 10.3934/cpaa.2006.5.447
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