Perturbation by non-local operators

DOI10.1214/16-AIHP816zbMath1391.60190arXiv1312.7594OpenAlexW2963066222MaRDI QIDQ1650110

Zhen-Qing Chen, Jie Ming Wang

Publication date: 29 June 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7594

zbMATH Keywords

perturbationpositivityFeller semigroupmartingale problemnon-local operatorfractional Laplaciansymmetric stable processintegral kernelLévy system

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35) Integro-differential operators (47G20) Jump processes on general state spaces (60J76)

Related Items

Heat kernel estimates for non-symmetric finite range jump processes ⋮ Heat kernels for time-dependent non-symmetric stable-like operators ⋮ On path-independent Girsanov transform ⋮ Heat kernel for non-local operators with variable order ⋮ Erratum to: ``Perturbation by non-local operators ⋮ On some smoothening effects of the transition semigroup of a Lévy process ⋮ Time Analyticity for Nonlocal Parabolic Equations ⋮ A uniqueness determination of the fractional exponents in a three-parameter fractional diffusion ⋮ Heat kernels for time-dependent non-symmetric mixed Lévy-type operators ⋮ Irreducibility and asymptotics of stochastic Burgers equation driven by \(\alpha \)-stable processes ⋮ Monotone systems involving variable-order nonlocal operators

Cites Work

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• Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
• On the martingale problem for generators of stable processes with perturbations
• Systems of equations driven by stable processes
• On estimates of the density of Feynman-Kac semigroups of \(\alpha \)-stable-like processes
• Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
• The martingale problem for a class of stable-like processes
• Symmetric jump processes and their heat kernel estimates
• Renaissance, recollements, mélanges, ralentissement de processus de Markov
• On the martingale problem associated with nondegenerate Lévy operators
• Perturbation of drift-type for Levy processes
• Markov processes associated with certain integro-differential operators
• Potential theory for elliptic systems
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Laplacian perturbed by non-local operators
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Uniqueness of stable processes with drift
• Some theorems on Feller processes: Transience, local times and ultracontractivity
• Local times for a class of purely discontinuous martingales
• Non-local Dirichlet forms and symmetric jump processes
• Stochastic processes and semigroups associated with degenerate lévy generating operators
• [https://portal.mardi4nfdi.de/wiki/Publication:4043914 Diffusion processes associated with L�vy generators]
• Symmetric Stable Laws and Stable-Like Jump-Diffusions
• Lévy Processes and Stochastic Calculus
• Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation