Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions

Idriss Boutaayamou; Genni Fragnelli; Lahcen Maniar

doi:10.1515/jiip-2014-0032

Published by De Gruyter May 21, 2015

Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions

Idriss Boutaayamou , Genni Fragnelli and Lahcen Maniar

From the journal Journal of Inverse and Ill-posed Problems

https://doi.org/10.1515/jiip-2014-0032

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Abstract

We consider a parabolic problem with degeneracy in the interior of the spatial domain and we focus on the well-posedness of the problem and on inverse source problems. The novelties of the present paper are two. First, the degeneracy point is in the interior of the spatial domain. Second, we consider Neumann boundary conditions so that no previous result can be adapted to this situation.

Keywords: Degenerate equations; interior degeneracy; Carleman estimates; inverse problems

MSC: 35K65; 93B07

Received: 2014-4-14

Revised: 2015-2-9

Accepted: 2015-4-13

Published Online: 2015-5-21

Published in Print: 2016-6-1

Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions

Abstract

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