On the supercritical fractional diffusion equation with Hardy-type drift

2021/12/12 by Kinzebulatov, D., Madou, K. R., Semenov, Yu. A. · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2112.06329

Abstract

We study the heat kernel of the supercritical fractional diffusion equation with the drift in the critical Hölder 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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