Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators 1

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

Name: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
Price: 869 SEK
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Author: Andreas Eberle
ISBN: 9783540666288

Andreas Eberle

Pocket

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268 sidor
1999

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.

Författare: Andreas Eberle
Illustratör: Bibliographie
Format: Pocket/Paperback
ISBN: 9783540666288
Språk: Engelska
Antal sidor: 268
Utgivningsdatum: 1999-11-01
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K