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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators - Info and Reading Options

"Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators" was published by Springer London, Limited in 2007 - Berlin New York, it has 268 pages and the language of the book is English.


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  • Title: ➤  Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
  • Author:
  • Language: English
  • Number of Pages: 268
  • Publisher: Springer London, Limited
  • Publish Date:
  • Publish Location: Berlin New York

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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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