Dirichlet heat kernel estimates for stable processes with singular drift in unbounded \(C^{1,1}\) open sets

DOI10.1007/s11118-013-9383-4zbMath1301.60088OpenAlexW2154292549MaRDI QIDQ2509992

Panki Kim, Renming Song

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1007/s11118-013-9383-4

zbMATH Keywords

heat kernelGreen functiontransition densityexit timeKato classgradient operatorboundary Harnack inequalityLévy systemsymmetric \(\alpha\)-stable processsubprocess

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Transition functions, generators and resolvents (60J35)

Related Items (7)

Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients ⋮ Estimates of Dirichlet heat kernels for subordinate Brownian motions ⋮ Heat kernel estimates for subordinate Markov processes and their applications ⋮ Quasi-stationarity and quasi-ergodicity of general Markov processes ⋮ Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation ⋮ On the KPZ equation with fractional diffusion: global regularity and existence results ⋮ Strong law of large numbers for supercritical superprocesses under second moment condition

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