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Title: Partial Differential Equations for Probabilists Condition: New Description: This 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. Author: Daniel W. Stroock EAN: 9781107400528 Country/Region of Manufacture: GB Format: Paperback ISBN: 9781107400528 Genre: Science Nature & Math Language: English Item Height: 228mm Publisher: Cambridge University Press Release Date: 05/07/2012 Item Length: 152mm Item Width: 15mm Item Weight: 340g Series: Cambridge Studies in Advanced Mathematics Release Year: 2012
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