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

Baur, Benedict

 
9783658058289: Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection

Synopsis

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.

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À propos de l?auteur

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

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Autres éditions populaires du même titre

9783658058302: Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection

Edition présentée

ISBN 10 :  3658058307 ISBN 13 :  9783658058302
Editeur : Springer Spektrum, 2014
Couverture souple