Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations

by E.B. Dynkin

Dynkin's lecture on the application of probability theory to the theory of nonlinear partial differential equations shows that all positive solutions for a class on nonlinear elliptical equations in a domain are described in terms of their traces on the boundary of the domain. While here Dynkin's main problematic tool is the theory of superdiffusio

120 pages, Mass Market Paperback

First published February 1, 2005

About the author

Eugene Borisovich Dynkin (Russian: Евгений Борисович Дынкин4) is a Soviet and American mathematician. He has made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named for him.