Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous \(N\)-particle systems with singular interactions

DOI10.1016/j.jfa.2007.01.014zbMath1128.60066OpenAlexW2083334375MaRDI QIDQ886129

Martin Grothaus, Torben Fattler

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.01.014

zbMATH Keywords

diffusion processesinteracting particle systemsstrong Feller propertyreflecting diffusion

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Boundary theory for Markov processes (60J50) Stochastic integral equations (60H20)

Related Items (8)

Uniqueness and regularity for a system of interacting Bessel processes via the Muckenhoupt condition ⋮ Strong Feller property of sticky reflected distorted Brownian motion ⋮ Skorokhod decomposition for a reflected -strong Feller diffusion with singular drift ⋮ Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms ⋮ Construction of \({\mathcal L}^{p}\)-strong Feller processes via Dirichlet forms and applications to elliptic diffusions ⋮ On the stochastic regularity of distorted Brownian motions ⋮ Construction and strong Feller property of distorted elliptic diffusion with reflecting boundary ⋮ Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results

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