Gradient estimates of Dirichlet heat kernels for unimodal Lévy processes

DOI10.1002/MANA.201600443zbMath1390.60284arXiv1604.02418OpenAlexW2964256080MaRDI QIDQ4606971

Tadeusz Kulczycki, Michał Ryznar

Publication date: 9 March 2018

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02418

zbMATH Keywords

Lévy processgradient estimatesDirichlet heat kernel

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Boundary theory for Markov processes (60J50)

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Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients ⋮ On directional convolution equivalent densities ⋮ Gradient Estimates in fractional Dirichlet Problems ⋮ Boundary regularity for nonlocal operators with kernels of variable orders ⋮ Anisotropic nonlocal diffusion equations with singular forcing ⋮ Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded domain ⋮ A study of nonlocal spatially heterogeneous logistic equation with harvesting ⋮ Strong Feller property for SDEs driven by multiplicative cylindrical stable noise ⋮ Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation ⋮ Optimal gradient estimates of heat kernels of stable-like operators

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