Superdiffusions and positive solutions of nonlinear partial differential equations
By: E.B. Dynkin
Series: University lecture series -- v. 34; University lecture series (Providence, R.I.) -- 34
Publisher: American Mathematical Society
Published: 2004
Place of publication: Providence, R.I
Language: eng
Number of pages: 120
Subjects: Differential equations, Nonlinear; Differential equations, Partial; Diffusion processes
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 can be of interest for everybody who works on applications of probabilistic methods to mathematical analysis."--BOOK JACKET.
Notes: Includes bibliographical references (p. 113-115) and indexes