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Book Overview
The L vy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the L vy-Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the L vy Laplacian and the symmetrized L vy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with L vy Laplacians and to L vy-Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang-Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.
Format:Paperback
Language:English
ISBN:0521183847
ISBN13:9780521183840
Release Date:February 2011
Publisher:Cambridge University Press
Length:160 Pages
Weight:0.54 lbs.
Dimensions:0.4" x 6.0" x 9.0"
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