Harmonic functions of subordinate killed Brownian motion

DOI10.1016/j.jfa.2004.01.001zbMath1061.60077OpenAlexW2137692618MaRDI QIDQ1888368

Renming Song, Hrvoje Šikić, Zoran Vondraček, Joseph Glover, Zoran Pop-Stojanović, Murali Rao

Publication date: 23 November 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.01.001

zbMATH Keywords

Harnack inequalitysubordinationMartin boundaryharmonic functionGreen functionboundary Harnack principleMartin kernelfractional Laplacianintrinsic ultracontractivitykilled Brownian motion

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35)

Related Items

Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradients, Potential theory of special subordinators and subordinate killed stable processes, Positive solutions for some competitive fractional systems in bounded domains, On the subordinate killed B.M in bounded domains and existence results for nonlinear fractional Dirichlet problems, Nonhomogeneous boundary conditions for the spectral fractional Laplacian, Potential theory of subordinate killed Brownian motion

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Intrinsic ultracontractivity and the Dirichlet Laplacian
• Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
• Some Dirichlet spaces obtained by subordinate reflected diffusions
• Potential theory of subordinate killed Brownian motion in a domain
• Drift transforms and Green function estimates for discontinuous processes
• Sharp bounds on the density, Green function and jumping function of subordinate killed BM
• Sobolev Spaces on Non Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions
• From Brownian Motion to Schrödinger’s Equation
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