Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations

Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 130
Release :
ISBN-10 : 9780821836828
ISBN-13 : 082183682X
Rating : 4/5 (28 Downloads)

Book Synopsis Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations by : Evgeniĭ Borisovich Dynkin

Download or read book Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations written by Evgeniĭ Borisovich Dynkin and published by American Mathematical Soc.. This book was released on 2004 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations Related Books

Superdiffusions and Positive Solutions of Nonlinear Partial Differential Equations
Language: en
Pages: 130
Authors: Evgeniĭ Borisovich Dynkin
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 p
Perspectives in Nonlinear Partial Differential Equations
Language: en
Pages: 522
Authors: Henri Berestycki
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging inf
Advances in Superprocesses and Nonlinear PDEs
Language: en
Pages: 129
Authors: Janos Englander
Categories: Mathematics
Type: BOOK - Published: 2013-03-21 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Sergei Kuznetsov is one of the top experts on measure valued branching processes (also known as “superprocesses”) and their connection to nonlinear partial
Nonlinear Second Order Elliptic Equations Involving Measures
Language: en
Pages: 264
Authors: Moshe Marcus
Categories: Mathematics
Type: BOOK - Published: 2013-11-27 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential equations. On the one hand
From Particle Systems to Partial Differential Equations
Language: en
Pages: 309
Authors: Patrícia Gonçalves
Categories: Mathematics
Type: BOOK - Published: 2017-11-15 - Publisher: Springer

DOWNLOAD EBOOK

"This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from t