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

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...

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Bibliografiske detaljer
Hovedforfatter: Eberle, Andreas, 1969-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1718
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Edition sous un autre format:• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators, Andreas Eberle, Berlin, Springer, 1999, 1 vol. (VIII-262 p.), Lecture notes in mathematics, 3-540-66628-1
• Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators, Texte imprimé, 9783662194362
Beskrivelse
Summary: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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Archives Springer e-books (Licence nationale)
ISBN:9783540480761 (PDF)
ISSN:1617-9692
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