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The cover of “Diffusions and elliptic operators” - Open Library.

"Diffusions and elliptic operators" was published by Springer in 1998 - New York, it has 232 pages and the language of the book is English.


“Diffusions and elliptic operators” Metadata:

  • Title: ➤  Diffusions and elliptic operators
  • Author:
  • Language: English
  • Number of Pages: 232
  • Publisher: Springer
  • Publish Date:
  • Publish Location: New York

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Edition Specifications:

  • Pagination: xiii, 232 p. :

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"Diffusions and elliptic operators" Description:

The Open Library:

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. Richard F. Bass is Professor of Mathematics at the University of Washington. He has written many research papers on the topics covered by this book. Also Available: Richard F. Bass, Probabilistic Techniques in Analysis. Springer-Verlag New York, Inc, 0-387-94387-0

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  • Title: ➤  Diffusions and elliptic operators - Ebook