Titlebook: Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift ; Benedict Baur Book 2014 Springer Fac

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Applications,raction in continuum. In Section 5.2 we consider the Ginzburg-Landau interface model with reflection (also called: entropic repulsion) at a hard wall. In both cases we obtain stochastic dynamics described by an .-strong Feller process that gives solutions in the sense of the corresponding martingale

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for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with sin

性別

性別

Book 2014like finite particle systems with singular interaction. Emphasize is placed on the handling of singular drift coefficients, as well as on the discussion of point wise and path wise properties of the constructed processes rather than just the quasi-everywhere properties commonly known from the general Dirichlet form theory.

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https://doi.org/10.1007/978-3-030-50917-0continuous contraction semigroups on spaces of continuous functions vanishing at infinity, see e.g. [BG68, Ch. I, Theo 9.4]. There are also results on the construction of Hunt processes from resolvents of kernels, see [Sto83] and Remark 2.3.1 below.

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Construction of ,-Strong Feller Processes,continuous contraction semigroups on spaces of continuous functions vanishing at infinity, see e.g. [BG68, Ch. I, Theo 9.4]. There are also results on the construction of Hunt processes from resolvents of kernels, see [Sto83] and Remark 2.3.1 below.