Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators: 1718 - Brossura

Eberle, Andreas

 
9783540666288: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators: 1718
Brossura
ISBN 10: 3540666281 ISBN 13: 9783540666288
Casa editrice: Springer, 2009

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Motivation and basic definitions: Uniqueness problems in various contexts.- L p uniqueness in finite dimensions.- Markov uniqueness.- Probabilistic aspects of L p and Markov uniqueness.- First steps in infinite dimensions.

Product Description

Book by Eberle Andreas

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
3540666281
ISBN 13 
9783540666288
Rilegatura
Copertina flessibile
Numero di pagine
276
Contatto del produttore
non disponibile
Persona responsabile
ProductSafety@springernature.com
ProductSafety@springernature.com

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