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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators - Lecture Notes in Mathematics 1718 (Paperback)
  • Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators - Lecture Notes in Mathematics 1718 (Paperback)
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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators - Lecture Notes in Mathematics 1718 (Paperback)

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Paperback 268 Pages / Published: 17/11/1999
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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.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783540666288
Number of pages: 268
Weight: 860 g
Dimensions: 235 x 155 x 14 mm
Edition: 1999 ed.

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