Superdiffusions and positive solutions of nonlinear partial differential equations. University lecture series; Bd. Volume 34.

Dynkin, E. B.

ISBN 10: 082183682X / ISBN 13: 9780821836828

Published by Providence, American Mathematical Society, 2004

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03179 9780821836828 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2489079

Bibliographic Details

Title: Superdiffusions and positive solutions of ...

Publisher: Providence, American Mathematical Society

Publication Date: 2004

Binding: Softcover

About this title

Synopsis:

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.