Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Paperback)

Andreas Eberle

ISBN 10: 3540666281 / ISBN 13: 9783540666288

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1999

About this Item

Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9783540666288

Bibliographic Details

• Title: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Paperback)
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Publication Date: 1999
• Language: English
• ISBN 10: 3540666281
• ISBN 13: 9783540666288
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.