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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The research of D. K. is supported by the Natural Sciences and Engineering Research Council of Canada (grant RGPIN-2017-05567)
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Kinzebulatov, D., Madou, K.R. & Semënov, Y.A. On the supercritical fractional diffusion equation with Hardy-type drift. JAMA 152, 401–420 (2024). https://doi.org/10.1007/s11854-023-0300-5
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DOI: https://doi.org/10.1007/s11854-023-0300-5