Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection

Lieferzeit: Lieferbar innerhalb 14 Tagen

53,49 

ISBN: 3658058285
ISBN 13: 9783658058289
Autor: Baur, Benedict
Verlag: Springer Spektrum
Umfang: x, 198 S., 1 s/w Illustr., 198 p. 1 illus.
Erscheinungsdatum: 08.05.2014
Auflage: 1/2014
Produktform: Kartoniert
Einband: Kartoniert

Benedict Baur presents modern functional analytic methods 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 singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finite particle systems with singular interaction. Emphasize is placed on the handling of singular drift coefficients, as well as on the discussion of pointwise and pathwise properties of the constructed processes rather than just the quasi-everywhere properties commonly known from the general Dirichlet form theory.Contents – Construction of Lp-Strong Feller Processes Elliptic Boundary Value Problems Skorokhod Decomposition for Reflected Diffusions with Singular Drift Particle Systems with singular interaction Target GroupsGraduate and PhD students, researchers of Mathematics in the field (Functional) Analysis, Stochastics, Partial Differential Equations and Mathematical PhysicsThe AuthorBenedict Baur has done his doctor’s degree at the University of Kaiserslautern in topics on Stochastics and Functional Analysis. 

Artikelnummer: 6449671 Kategorie:

Beschreibung

Benedict Baur presents modern functional analytic methods 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 singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like 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.

Autorenporträt

Benedict Baur has done his doctors degree at the University of Kaiserslautern in topics on Stochastics and Functional Analysis.

Herstellerkennzeichnung:


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E-Mail: juergen.hartmann@springer.com

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