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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aPartial differential equations for probabalists [sic] /$fDaniel W. Stroock$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2008.
215   $a1 online resource (xv, 215 pages) $cdigital, PDF file(s)
225 1 $aCambridge studies in advanced mathematics ;$v112
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a1-107-40052-X 
311   $a0-521-88651-1 
320   $aIncludes bibliographical references (p. 209-212) and index.
327   $aKolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and Ho?rmander's theorem.
330   $aThis book deals with equations that have played a central role in the interplay between partial differential equations and probability theory. Most of this material has been treated elsewhere, but it is rarely presented in a manner that makes it readily accessible to people whose background is probability theory. Many results are given new proofs designed for readers with limited expertise in analysis. The author covers the theory of linear, second order, partial differential equations of parabolic and elliptic types. Many of the techniques have antecedents in probability theory, although the book also covers a few purely analytic techniques. In particular, a chapter is devoted to the De Giorgi-Moser-Nash estimates, and the concluding chapter gives an introduction to the theory of pseudodifferential operators and their application to hypoellipticity, including the famous theorem of Lars Hormander.
410  0$aCambridge studies in advanced mathematics ;$v112.
606   $aDifferential equations, Partial
606   $aDifferential equations, Parabolic
606   $aDifferential equations, Elliptic
606   $aProbabilities
615  0$aDifferential equations, Partial.
615  0$aDifferential equations, Parabolic.
615  0$aDifferential equations, Elliptic.
615  0$aProbabilities.
676   $a515/.353
700   $aStroock$b Daniel W.$042628
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910453889603321
996   $aPartial differential equations for probabalists$92450480
997   $aUNINA