On unique continuation in measure for fractional heat equations

Agnid Banerjee; Nicola Garofalo

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arXiv · 2412.03536

On unique continuation in measure for fractional heat equations

Agnid Banerjee·Nicola Garofalo

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Abstract

We prove a theorem of unique continuation in measure for nonlocal equations of the type $(\partial_t - \Delta)^s u= V(x,t) u$, for $0<s <1$. Our main result, Theorem 1.1, establishes a delicate nonlocal counterpart of the unique continuation in measure for the local case $s=1$.

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Agnid Banerjee, Nicola Garofalo. 2024-12-04. On unique continuation in measure for fractional heat equations. https://arxiv.org/abs/2412.03536

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