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

Produktform: Buch / Einband - flex.(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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-540-66628-8 / 978-3540666288 / 9783540666288

Verlag: Springer Berlin

Erscheinungsdatum: 17.11.1999

Seiten: 268

Auflage: 1

Zielgruppe: Research

Autor(en): Andreas Eberle

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