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

Edition 1st ed. 2014.
Publisher (Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer Spektrum)
Year 2014
Language English
Size X, 198 p. 1 illus : online resource
Authors *Baur, Benedict author
SpringerLink (Online service)
Subjects LCSH:Mathematical analysis
LCSH:Probabilities
LCSH:Mathematical physics
FREE:Analysis
FREE:Probability Theory
FREE:Mathematical Physics
Notes 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
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 Groups Graduate and PhD students, researchers of Mathematics in the field (Functional) Analysis, Stochastics, Partial Differential Equations and Mathematical Physics The Author Benedict Baur has done his doctor’s degree at the University of Kaiserslautern in topics on Stochastics and Functional Analysis.  
HTTP:URL=https://doi.org/10.1007/978-3-658-05829-6
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Springer eBooks 9783658058296
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EB00232334

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Material Type E-Book
Classification LCC:QA299.6-433
DC23:515
ID 4000120741
ISBN 9783658058296

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