Heat kernel estimates for \(\varDelta + \varDelta^{\alpha / 2}\) under gradient perturbation

DOI10.1016/j.spa.2015.02.016zbMath1329.60228arXiv1410.8240OpenAlexW1998037440MaRDI QIDQ2348296

Zhen-Qing Chen, Eryan Hu

Publication date: 11 June 2015

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8240

zbMATH Keywords

transition densityLévy processFeller semigroupheat kernel estimatesKato classnonlocal operatorsgradient perturbation

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Markov semigroups and applications to diffusion processes (47D07) Applications of stochastic analysis (to PDEs, etc.) (60H30) Transition functions, generators and resolvents (60J35) Integro-differential operators (47G20) Heat kernel (35K08)

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Cites Work

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• Brownian motion with singular drift
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• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Parabolic Harnack inequality for the mixture of Brownian motion and stable process
• Two-sided estimates on the density of Brownian motion with singular drift
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Lévy Processes and Stochastic Calculus
• Heat kernel estimates for Δ+Δ ^{α /2} in C ^{1, 1} open sets

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