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Books in English > Mathematics & Science > Mathematics > Calculus & mathematical analysis > Differential calculus & equations > Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

Name: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
Brand: Springer, Berlin
SKU: 01567123
Price: 23722 HUF
Availability: InStock
Author: Andreas Eberle
ISBN: 9783540666288

Andreas Eberle

Language

English

Book Paperback

Libristo code: 01567123

Publishers Springer, Berlin, November 1998

This book addresses both probabilists working on diffusion processes and analysts interested in line... Full description

Libristo code: 01567123

158 b

23 722 Ft

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This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts.