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

2020/04/08 by Banerjee, Agnid, Garofalo, Nicola, Manna, Ramesh
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.03932

Abstract

In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality |Δu - u_t| ≤ (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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