Heat kernels of non-symmetric jump processes: beyond the stable case

DOI10.1007/s11118-017-9648-4zbMath1409.60116arXiv1606.02005OpenAlexW2962790535MaRDI QIDQ1650757

Renming Song, Panki Kim, Zoran Vondraček

Publication date: 13 July 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02005

zbMATH Keywords

heat kernel estimatessubordinate Brownian motionsymmetric Lévy processnon-symmetric Markov processnon-symmetric operator

Mathematics Subject Classification ID

Related Items (24)

Estimates of heat kernels of non-symmetric Lévy processes ⋮ Heat kernel estimates for non-symmetric finite range jump processes ⋮ Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes ⋮ Fluctuation theory for Lévy processes with completely monotone jumps ⋮ Heat kernel for non-local operators with variable order ⋮ Subexponential upper and lower bounds in Wasserstein distance for Markov processes ⋮ Essential spectrum and Feller type properties ⋮ On the Cauchy problem for nondegenerate parabolic integro-differential equations in the scale of generalized Hölder spaces ⋮ Fundamental solution for super-critical non-symmetric Lévy-type operators ⋮ Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates ⋮ Representation of harmonic functions with respect to subordinate Brownian motion ⋮ Gradient estimates for the fundamental solution of Lévy type operator ⋮ Williams decomposition for superprocesses ⋮ Semilinear equations for non-local operators: beyond the fractional Laplacian ⋮ Heat kernels of non-symmetric Lévy-type operators ⋮ Periodic homogenization of a Lévy-type process with small jumps ⋮ Heat kernel estimates for symmetric jump processes with mixed polynomial growths ⋮ Uniqueness in law for stable-like processes of variable order ⋮ Strong Feller property for SDEs driven by multiplicative cylindrical stable noise ⋮ Heat kernel of anisotropic nonlocal operators ⋮ Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders ⋮ Periodic homogenization of nonsymmetric Lévy-type processes ⋮ On the boundary theory of subordinate killed Lévy processes

Cites Work

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• Heat kernels and analyticity of non-symmetric jump diffusion semigroups
• Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space
• Regularity results for stable-like operators
• On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
• The growth of random walks and Levy processes
• Estimates of transition densities and their derivatives for jump Lévy processes
• Global uniform boundary Harnack principle with explicit decay rate and its application
• Density and tails of unimodal convolution semigroups
• On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes
• Dirichlet heat kernel estimates for rotationally symmetric Lévy processes

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