# American Institute of Mathematical Sciences

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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