E-Book, Englisch, Band 1718, 268 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Eberle Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
Erscheinungsjahr 2007
ISBN: 978-3-540-48076-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1718, 268 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-48076-1
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
