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- catalog abstract "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.".
- catalog alternative "Uniqueness and non-uniqueness of singular diffusion operators".
- catalog contributor b11529913.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description "Includes bibliographical references (p. [255]-260) and index.".
- catalog description "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.".
- catalog description "Uniqueness problems in various contexts -- Lp uniqueness in finite dimensions -- Markov uniqueness -- Probabilistic aspects of Lp and Markov uniqueness -- First steps in infinite dimensions.".
- catalog extent "viii, 262 p. ;".
- catalog hasFormat "Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators.".
- catalog identifier "3540666281 (acid-free paper)".
- catalog isFormatOf "Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1718.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1718".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators.".
- catalog subject "510 s 519.2/33 21".
- catalog subject "Differential equations, Parabolic.".
- catalog subject "Differential equations, partial.".
- catalog subject "Diffusion processes.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Mathematics.".
- catalog subject "Potential theory (Mathematics).".
- catalog subject "QA3 .L28 no. 1718 QA274.75".
- catalog tableOfContents "Uniqueness problems in various contexts -- Lp uniqueness in finite dimensions -- Markov uniqueness -- Probabilistic aspects of Lp and Markov uniqueness -- First steps in infinite dimensions.".
- catalog title "Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators / Andreas Eberle.".
- catalog title "Uniqueness and non-uniqueness of singular diffusion operators".
- catalog type "text".