In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality |Δu-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.
A Strong Unique Continuation Property for the Heat Operator with Hardy Type Potential
Garofalo N.
;
2021
Abstract
In this note we prove the strong unique continuation property at the origin for the solutions of the parabolic differential inequality |Δu-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.File in questo prodotto:
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Banerjee2021_Article_AStrongUniqueContinuationPrope.pdf
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