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

Dynkin, E. B.

ISBN 10: 082183682X ISBN 13: 9780821836828

Editorial: Providence, American Mathematical Society, 2004

Idioma: Ingl�s

Condici�n: Usado Encuadernaci�n de tapa blanda

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Descripci�n

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

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T�tulo

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

Editor

Providence, American Mathematical Society

Fecha de publicaci�n

2004

Idioma

Ingl�s

ISBN 10

082183682X

ISBN 13

9780821836828

Encuadernaci�n

Softcover

Cat�logos de vendedores

SA MATHEMATIK

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Sinopsis

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.

Rese�a del editor

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.

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