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

E. B. Dynkin




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 | #10711183 in Books |  Amer Mathematical Society |  2004-11 | Original language:English | PDF # 1 |  10.25 x7.25 x.50l,.54 | Binding: Mass Market Paperback | 120 pages

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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 prese...

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