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＜電子ブック＞
Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators / by Andreas Eberle
(Lecture Notes in Mathematics. ISSN:16179692 ; 1718)

版	1st ed. 1999.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1999
本文言語	英語
大きさ	VIII, 268 p : online resource
著者標目	*Eberle, Andreas author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Differential equations LCSH:Group theory LCSH:Potential theory (Mathematics) FREE:Probability Theory FREE:Differential Equations FREE:Group Theory and Generalizations FREE:Potential Theory
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/BFb0103045

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