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LEADER: 02668cam a2200337Ia 4500
001 014131878-3
005 20141107185251.0
008 140414s2014 gw a b 001 0 eng d
020 $a9783658058289
020 $a3658058285
035 $a(PromptCat)99959333830
035 0 $aocn876685363
040 $aBTCTA$beng$cBTCTA$dYDXCP$dOCLCO$dGZM$dCDX
050 4 $aQA425$b.B38 2014
082 04 $a515/.353$223
100 1 $aBaur, Benedict.
245 10 $aElliptic boundary value problems and construction of Lp-Strong feller processes with singular drift and reflection /$cBenedict Baur ; mit einem Geleitwort von Professor Dr. Martin Grothaus.
260 $aFachmedien, [Germany] ;$aWiesbaden, [Germany] :$bSpringer,$c2014.
300 $ax, 198 p. :$bill. ;$c21 cm.
504 $aIncludes bibliographical references and index.
505 0 $aIntroduction -- 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.
520 $aBenedict 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.
650 0 $aGlobal analysis (Mathematics)
650 0 $aDistribution (Probability theory)
650 0 $aDirichlet problem.
650 0 $aMathematics.
700 1 $aGrothaus, Martin.
700 1 $aGrothaus, Martin$c(Professor)
899 $a415_565982
988 $a20140802
906 $0OCLC