Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations (University Lecture Series) - Softcover

Dynkin, E. B.

Softcover

ISBN 10: 082183682X ISBN 13: 9780821836828

Publisher: American Mathematical Society, 2004

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2004
• Language: English
• ISBN 10: 082183682X
• ISBN 13: 9780821836828
• Binding: Mass Market Paperback
• Number of pages: 120