Global heat kernel estimate for relativistic stable processes in exterior open sets
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Publication:442187
DOI10.1016/j.jfa.2012.04.012zbMath1255.60076arXiv1112.2778OpenAlexW2141555561MaRDI QIDQ442187
Renming Song, Zhen-Qing Chen, Panki Kim
Publication date: 10 August 2012
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.2778
heat kernelGreen functiontransition densityexit timeLévy systemparabolic Harnack inequalityrelativistic stable processessymmetric \(\alpha \)-stable processes
Stable stochastic processes (60G52) Potentials and capacities on other spaces (31C15) Transition functions, generators and resolvents (60J35)
Related Items (17)
A refinement of analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ \(L^p\)-Kato class measures for symmetric Markov processes under heat kernel estimates ⋮ Estimates of Dirichlet heat kernels for subordinate Brownian motions ⋮ Two-sided Dirichlet heat kernel estimates of symmetric stable processes on horn-shaped regions ⋮ Dirichlet heat kernel for unimodal Lévy processes ⋮ \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups ⋮ Relativistic stable operators with critical potentials ⋮ Global uniform boundary Harnack principle with explicit decay rate and its application ⋮ Analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ Global heat kernel estimates for symmetric Markov processes dominated by stable-like processes in exterior \(C^{1,\eta}\) open sets ⋮ On a semilinear mixed fractional heat equation driven by fractional Brownian sheet ⋮ General analytic characterization of gaugeability for Feynman-Kac functionals ⋮ Mixed fractional heat equation driven by fractional Brownian sheet and Lévy process ⋮ Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space ⋮ Hitting times of points and intervals for symmetric Lévy processes ⋮ Estimates of Dirichlet heat kernel for symmetric Markov processes ⋮ Barriers, exit time and survival probability for unimodal Lévy processes
Cites Work
- Global heat kernel estimates for fractional Laplacians in unbounded open sets
- Sharp heat kernel estimates for relativistic stable processes in open sets
- Global heat kernel estimates for relativistic stable processes in half-space-like open sets
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
- Two-sided heat kernel estimates for censored stable-like processes
- Generalized 3G theorem and application to relativistic stable process on non-smooth open sets
- Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
- Heat kernel estimates for the Dirichlet fractional Laplacian
- Symmetric jump processes and their heat kernel estimates
- Relativistic stability of matter. I
- Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
- The stability and instability of relativistic matter
- Drift transforms and Green function estimates for discontinuous processes
- Estimates of Green function for relativistic \(\alpha\)-stable process
- Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
- Two-sided optimal bounds for Green functions of half-spaces for relativistic \(\alpha\)-stable process
- Heat kernel estimates for jump processes of mixed types on metric measure spaces
- Relative Fatou's theorem for (\(-\Delta)^{\alpha/2}\)-harmonic functions in bounded \(\kappa\)-fat open sets
- Green function estimates and Harnack inequality for subordinate Brownian motions
- Heat kernel estimates for stable-like processes on \(d\)-sets.
- Global heat kernel estimates for symmetric jump processes
- Intrinsic ultracontractivity of the Feynman-Kac semigroup for relativistic stable processes
- Non-local Dirichlet forms and symmetric jump processes
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