Optimal gradient estimates of heat kernels of stable-like operators

DOI10.1090/proc/14489zbMath1478.60213arXiv1808.06349OpenAlexW2950430841MaRDI QIDQ5223186

Xicheng Zhang, Kai Du

Publication date: 17 July 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06349

zbMATH Keywords

gradient estimateheat kernelstable-like operators

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35) Jump processes on general state spaces (60J76)

Related Items

Gradient estimates for the fundamental solution of Lévy type operator ⋮ Gradient formula for transition semigroup corresponding to stochastic equation driven by a system of independent Lévy processes ⋮ Heat kernel of supercritical nonlocal operators with unbounded drifts

Cites Work

• Heat kernels and analyticity of non-symmetric jump diffusion semigroups
• Heat kernels for time-dependent non-symmetric stable-like operators
• Parametrix construction of the transition probability density of the solution to an SDE driven by \(\alpha\)-stable noise
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Gradient estimates of harmonic functions and transition densities for Lévy processes
• Gradient estimates of Dirichlet heat kernels for unimodal Lévy processes