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Diffusions and Elliptic Operators

Language EnglishEnglish
Book Hardback
Book Diffusions and Elliptic Operators Richard F. Bass
Libristo code: 01385446
Publishers Springer, Berlin, November 1996
This is author-approved bcc: This book discusses the interplay of diffusion processes and partial di... Full description
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This is author-approved bcc: This book discusses the interplay of diffusion processes and partial differential equations with an emphasis on probabilistic methods in PDE. It begins with stochastic differential equations, the probabilistic machinery needed to study PDE. After spending three chapters on probabilistic representations of solutions for PDE, regularity of solutions and one dimensional diffusions, the author discusses in depth two main types of second order linear differential operators: non-divergence operators and divergence operators, including topics such as the Harnack inequality of Krylov-Safonov for non-divergence operators and heat kernel estimates for divergence form operators. Martingale problems and the Malliavin calculus are presented in two other chapters. This book can be used as a textbook for a graduate course on diffusion theory with applications to PDE. It will also be a valuable reference to researchers in probability who are interested in PDE as well as for analysts who are interested in probabilistic methods.

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About the book

Full name Diffusions and Elliptic Operators
Language English
Binding Book - Hardback
Date of issue 1997
Number of pages 232
EAN 9780387983158
ISBN 0387983155
Libristo code 01385446
Publishers Springer, Berlin
Weight 520
Dimensions 156 x 234 x 15
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