A class of singular symmetric Markov processes

DOI10.1007/s11118-011-9270-9zbMath1266.60148OpenAlexW1984855878MaRDI QIDQ1935426

Fangjun Xu

Publication date: 15 February 2013

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

Full work available at URL: https://doi.org/10.1007/s11118-011-9270-9

zbMATH Keywords

Dirichlet formNash inequalityLévy process' stable process

Mathematics Subject Classification ID

Dirichlet forms (31C25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

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Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels, Parabolic Harnack inequality implies the existence of jump kernel, Heat kernel bounds for nonlocal operators with singular kernels, Regularity of harmonic functions for some Markov chains with unbounded range, Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities, General Law of iterated logarithm for Markov processes: Liminf laws, MFO-RIMS tandem workshop: Nonlocality in analysis, probability and statistics. Abstracts from the MFO-RIMS tandem workshop held March 20--26, 2022, Regularity of solutions to anisotropic nonlocal equations, Heat kernel bounds for a large class of Markov process with singular jump

Cites Work

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• Regularity of harmonic functions for a class of singular stable-like processes
• Systems of equations driven by stable processes
• Symmetric jump processes: localization, heat kernels and convergence
• Upper bounds for symmetric Markov transition functions
• Renaissance, recollements, mélanges, ralentissement de processus de Markov
• Dirichlet forms and symmetric Markov processes
• Markov chain approximations to symmetric diffusions
• On regularity for Beurling-Deny type Dirichlet forms
• Heat kernel estimates for jump processes of mixed types on metric measure spaces
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Transition Probabilities for Symmetric Jump Processes
• Continuity of Solutions of Parabolic and Elliptic Equations
• NASH-TYPE INEQUALITIES AND HEAT KERNELS FOR NON-LOCAL DIRICHLET FORMS
• Non-local Dirichlet forms and symmetric jump processes
• On Harnack's theorem for elliptic differential equations
• Diffusions and Elliptic Operators
• Harnack inequalities for non-local operators of variable order
• A construction of markov processes by piecing out
• Convergence of symmetric Markov chains on \({\mathbb{Z}^d}\)