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arXiv · 2404.12537

Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure

Bruno S. V. Araújo·Reginaldo Demarque·Josiane C. O. Faria·Luiz Viana
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Abstract

This work is concerned with the obtainment of new Carleman estimates for linear parabolic equations, where the second-order differential operator brings a super strong degeneracy in a positive measure subset of the spatial domain. In order to prove our main result, the control domain is supposed to contain the set of degeneracies. As a well-known consequence, we achieve a null controllability result in the current context.

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Bruno S. V. Araújo, Reginaldo Demarque, Josiane C. O. Faria, Luiz Viana. 2024-04-18. Carleman estimates for parabolic equations with super strong degeneracy in a set of positive measure. https://arxiv.org/abs/2404.12537

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