LEADER 03928nam 22006615 450 001 9910300153303321 005 20200702113849.0 010 $a3-658-05829-3 024 7 $a10.1007/978-3-658-05829-6 035 $a(CKB)3710000000105735 035 $a(EBL)1731422 035 $a(OCoLC)884584097 035 $a(SSID)ssj0001204885 035 $a(PQKBManifestationID)11686565 035 $a(PQKBTitleCode)TC0001204885 035 $a(PQKBWorkID)11180194 035 $a(PQKB)10801405 035 $a(MiAaPQ)EBC1731422 035 $a(DE-He213)978-3-658-05829-6 035 $a(PPN)17831854X 035 $a(EXLCZ)993710000000105735 100 $a20140425d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection /$fby Benedict Baur 205 $a1st ed. 2014. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2014. 215 $a1 online resource (203 p.) 300 $aDescription based upon print version of record. 311 $a3-658-05828-5 320 $aIncludes bibliographical references and index. 327 $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. 330 $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.  . 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aProbabilities 606 $aMathematical physics 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aProbabilities. 615 0$aMathematical physics. 615 14$aAnalysis. 615 24$aProbability Theory and Stochastic Processes. 615 24$aMathematical Physics. 676 $a515 676 $a515.353 676 $a515/.353 700 $aBaur$b Benedict$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721205 906 $aBOOK 912 $a9910300153303321 996 $aElliptic boundary value problems and construction of Lp-strong Feller processes with singular drift and reflection$91409976 997 $aUNINA