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arXiv · 2203.07428

Space-like strong unique continuation for some fractional parabolic equations

Vedansh Arya·Agnid Banerjee·Donatella Danielli·Nicola Garofalo
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Abstract

In this paper we establish the \emph{space-like} strong unique continuation for nonlocal equations of the type $(\partial_t - \Delta)^s u= Vu$, for $0<s <1$. The proof of our main result, Theorem 1.1, is achieved via a conditional elliptic type doubling property for solutions to the appropriate extension problem, followed by a blowup analysis.

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Vedansh Arya, Agnid Banerjee, Donatella Danielli, Nicola Garofalo. 2022-03-14. Space-like strong unique continuation for some fractional parabolic equations. https://arxiv.org/abs/2203.07428

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