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arXiv:2105.12977 [math.AP]AbstractReferencesReviewsResources

Observation estimate for the heat equations with Neumann boundary condition via logarithmic convexity

Rémi Buffe, Kim Dang Phung

Published 2021-05-27Version 1

We prove an inequality of H\"older type traducing the unique continuation property at one time for the heat equation with a potential and Neumann boundary condition. The main feature of the proof is to overcome the propagation of smallness by a global approach using a refined parabolic frequency function method. It relies with a Carleman commutator estimate to obtain the logarithmic convexity property of the frequency function.

Categories: math.AP
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