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Diffusions and Elliptic Operators on Hardback by Richard F Bass
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Diffusions and Elliptic Operators

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Description

A discussion of the interplay of diffusion processes and partial differential equations with an emphasis on probabilistic methods. It begins with stochastic differential equations, the probabilistic machinery needed to study PDE, and moves on to 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, as well as Martingale problems and the Malliavin calculus. While serving as a textbook for a graduate course on diffusion theory with applications to PDE, this will also be a valuable reference to researchers in probability who are interested in PDE, as well as for analysts interested in probabilistic methods.
Release date Australia
November 25th, 1997
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
XIV, 232 p.
Pages
232
Dimensions
156x234x15
ISBN-13
9780387983158
Product ID
2434705

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