Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights

Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights

We establish sharp two-sided bounds on the heat kernel of the fractional Laplacian, perturbed by a drift having critical-order singularity, by transferring it to appropriate weighted space with singular weight.

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Hauptverfasser: Kinzebulatov, D, Semenov, Yu. A, Szczypkowski, K
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
Mathematics - Probability
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Beschreibung
Zusammenfassung:We establish sharp two-sided bounds on the heat kernel of the fractional Laplacian, perturbed by a drift having critical-order singularity, by transferring it to appropriate weighted space with singular weight.
DOI:10.48550/arxiv.1904.07363