ENGLISH

Superdiffusions and positive solutions of nonlinear partial differential equations

By E. B. Dynkin

Book information

Publisher
Amer Mathematical Society
Year
2004
ISBN
0-8218-3682-X, 9780821836828, 49-1996-125-1
Language
english
Format
DJVU
Filesize
868 kB (888905 bytes)
Series
University Lecture Series 034
Pages
130\130
Library
kolxoz
DPI
600
Time added
2015-12-12 14:00:00

Description

This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the domain. The main probabilistic tool is the theory of superdiffusions, which describes a random evolution of a cloud of particles. A substantial enhancement of this theory is presented that will be of interest to anyone who works on applications of probabilistic methods to mathematical analysis. The book is suitable for graduate students and research mathematicians interested in probability theory and its applications to differential equations. Also of interest by this author is ""Diffusions, Superdiffusions and Partial Differential Equations"" in the ""AMS"" series, Colloquium Publications

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