Andreas Eberle

Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 268
• Erscheinungstermin: 5. Januar 2007
• Englisch
• ISBN-13: 9783540480761
• Artikelnr.: 53396869