On the supercritical fractional diffusion equation with Hardy-type drift
Analysis of PDEs
2021-12-14 v1 Probability
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 .
Keywords
Cite
@article{arxiv.2112.06329,
title = {On the supercritical fractional diffusion equation with Hardy-type drift},
author = {D. Kinzebulatov and K. R. Madou and Yu. A. Semenov},
journal= {arXiv preprint arXiv:2112.06329},
year = {2021}
}