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

Benedict Baur (Autor)

Buch | Softcover

X, 198 Seiten

2014 | 2014
Springer Fachmedien Wiesbaden GmbH (Verlag)
978-3-658-05828-9 (ISBN)

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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.

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

Introduction.- Construction of Lp-Strong Feller Processes.- Elliptic Regularity up to the Boundary.- Construction of Elliptic Diffusions.- Applications.- Construction of the Local Time and Skorokhod Decomposition.- Appendix.

"The author presents modern functional analytic methods for the construction and analysis of Feller processes in general and diffusion processes in particular. ... This book is a must-read for people who are interested in (stochastic) differential equations, Dirichlet forms, stochastic processes and their applications." (J. A. Van Casteren, Mathematical Reviews, November, 2015)

Erscheint lt. Verlag	8.5.2014
Zusatzinfo	X, 198 p. 1 illus.
Verlagsort	Wiesbaden
Sprache	englisch
Maße	148 x 210 mm
Gewicht	278 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Analysis • Dirichlet form theory • Elliptic boundary value problem • finite particle system • Skorokhod decomposition
ISBN-10	3-658-05828-5 / 3658058285
ISBN-13	978-3-658-05828-9 / 9783658058289
Zustand	Neuware