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arXiv · 1509.00863

Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions

Idriss Boutaayamou·Genni Fragnelli·Lahcen Maniar
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Abstract

We consider a parabolic problem with degeneracy in the interior of the spatial domain and Neumann boundary conditions. In particular, we will focus on the well-posedness of the problem and on Carleman estimates for the associated adjoint problem. The novelty of the present paper is that for the first time it is considered a problem with an interior degeneracy and Neumann boundary conditions so that no previous result can be adapted to this situation. As a consequence new observability inequalities are established.

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Idriss Boutaayamou, Genni Fragnelli, Lahcen Maniar. 2017-12-19. Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions. https://arxiv.org/abs/1509.00863

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