Trace estimates for relativistic stable processes

DOI10.1007/s11118-014-9423-8zbMath1308.60059arXiv1212.2943OpenAlexW2155108317MaRDI QIDQ471064

Renming Song, Hyunchul Park

Publication date: 13 November 2014

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

Full work available at URL: https://arxiv.org/abs/1212.2943

zbMATH Keywords

Lévy process\(C^{1,1}\) open setsLipschitz open setsrelativistic \(\alpha\)-stable processtrace estimates

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35)

Related Items (7)

Spectral heat content for \(\alpha \)-stable processes in \({C^{1,1}}\) open sets ⋮ Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval ⋮ Two-term spectral asymptotics for the Dirichlet pseudo-relativistic kinetic energy operator on a bounded domain ⋮ Spectral functions of subordinate Brownian motion on closed manifolds: ⋮ Trace estimates for unimodal Lévy processes ⋮ A parabolic equation for the fractional Laplacian in the entire space: blow-up of nonnegative solutions ⋮ Heat trace asymptotics of subordinate Brownian motion in Euclidean space

Cites Work

• Unnamed Item
• Sharp heat kernel estimates for relativistic stable processes in open sets
• Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains
• Estimates of Green functions for some perturbations of fractional Laplacian
• Trace estimates for stable processes
• On the trace of symmetric stable processes on Lipschitz domains
• Can one hear the dimension of a fractal?
• On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian
• Drift transforms and Green function estimates for discontinuous processes
• Estimates of Green function for relativistic \(\alpha\)-stable process
• Two-term trace estimates for relativistic stable processes
• The Trace of the Heat Kernel in Lipschitz Domains
• Intrinsic ultracontractivity of the Feynman-Kac semigroup for relativistic stable processes

This page was built for publication: Trace estimates for relativistic stable processes