Stable determination of a semilinear term in a parabolic equation
Mourad Choulli - Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz cedex, France (email)
Abstract: In  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  for a general smooth domain.
Keywords: semilinear parabolic equation, Hölder type stability estimate, fundamental solution, gaussian lower bound.
Received: April 2005; Revised: December 2005; Published: June 2006.
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