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A Strong Unique Continuation Property for the Heat Operator with Hardy Type Potential

Banerjee, A and Garofalo, N and Manna, R (2020) A Strong Unique Continuation Property for the Heat Operator with Hardy Type Potential. In: Journal of Geometric Analysis .

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Official URL: https://dx.doi.org/10.1007/s12220-020-00487-y

Abstract

In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality |�u-ut|�M|x|2|u|,with the critical inverse square potential. Our main result sharpens a previous one of Vessella concerned with the subcritical case.

Item Type: Journal Article
Publication: Journal of Geometric Analysis
Publisher: Springer
Additional Information: The copyright of this article belongs to Springer
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 17 Aug 2020 07:13
Last Modified: 17 Aug 2020 07:13
URI: http://eprints.iisc.ac.in/id/eprint/66333

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