Heat kernel of anisotropic nonlocal operators

DOI10.25537/dm.2020v25.1-54zbMath1440.35352arXiv1704.03705MaRDI QIDQ2295594

Paweł Sztonyk, Viktoria P. Knopova, Krzysztof Bogdan

Publication date: 14 February 2020

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03705

zbMATH Keywords

heat kernelparametrixanisotropic Lévy kernel

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Transition functions, generators and resolvents (60J35) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (20)

TRANSITION DENSITIES OF SUBORDINATORS OF POSITIVE ORDER ⋮ Heat kernels for time-dependent non-symmetric stable-like operators ⋮ On the Feynman-Kac semigroup for some Markov processes ⋮ On weak solution of SDE driven by inhomogeneous singular Lévy noise ⋮ Heat kernel for non-local operators with variable order ⋮ On recurrence and transience of some Lévy-type processes in ℝ ⋮ Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities ⋮ Fundamental solution for super-critical non-symmetric Lévy-type operators ⋮ Multivariate stable approximation by Stein's method ⋮ On ergodic properties of some Lévy-type processes ⋮ Regularity of solutions to anisotropic nonlocal equations ⋮ Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Anisotropic nonlocal diffusion equations with singular forcing ⋮ Semigroup properties of solutions of SDEs driven by Lévy processes with independent coordinates ⋮ Gradient estimates for the fundamental solution of Lévy type operator ⋮ On the anisotropic stable JCIR process ⋮ Strong Feller property for SDEs driven by multiplicative cylindrical stable noise ⋮ Existence of densities for stochastic differential equations driven by Lévy processes with anisotropic jumps ⋮ Schauder estimates for Poisson equations associated with non-local Feller generators ⋮ Construction and heat kernel estimates of generalstable-like Markov processes

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