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Carleman commutator approach in logarithmic convexity for parabolic equations

Abstract

In this paper we investigate on a new strategy combining the logarithmic convexity (or frequency function) and the Carleman commutator to obtain an observation estimate at one time for the heat equation in a bounded domain. We also consider the heat equation with an inverse square potential. Moreover, a spectral inequality for the associated eigenvalue problem is derived.
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Dates and versions

hal-01710168 , version 1 (15-02-2018)

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Kim Dang Phung. Carleman commutator approach in logarithmic convexity for parabolic equations. 2018. ⟨hal-01710168⟩
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