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arXiv · 2112.06329

On the supercritical fractional diffusion equation with Hardy-type drift

D. Kinzebulatov·K. R. Madou·Yu. A. Semenov
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Abstract

We study the heat kernel of the supercritical fractional diffusion equation with the drift in the critical H\"{o}lder space. We show that such a drift can have point irregularities strong enough to make the heat kernel vanish at a point for all $t>0$.

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D. Kinzebulatov, K. R. Madou, Yu. A. Semenov. 2021-12-12. On the supercritical fractional diffusion equation with Hardy-type drift. https://arxiv.org/abs/2112.06329

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