Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights

2019/04/15 by Damir Kinzebulatov, Kinzebulatov, D., Yu. A. Semënov +3 · 1 citation
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1904.07363

Abstract

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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• Two-sided weighted bounds on fundamental solution to fractional Schrödinger operator

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