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arXiv · 2004.03932

A strong unique continuation property for the heat operator with Hardy type potential

Agnid Banerjee·Nicola Garofalo·Ramesh Manna
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Abstract

In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality \[ |\Delta u - u_t| \leq \frac{M}{|x|^2} |u|, \] with the critical inverse square potential. Our main result sharpens a previous one of Vessella concerned with the subcritical case.

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Agnid Banerjee, Nicola Garofalo, Ramesh Manna. 2020-04-08. A strong unique continuation property for the heat operator with Hardy type potential. https://arxiv.org/abs/2004.03932

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