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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators: 1718 (Lecture Notes in Mathematics, 1718) - Softcover
Synopsis
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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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
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Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators. Lecture Notes in Mathematics; 1718.
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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators
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Springer Berlin Heidelberg, 1999
ISBN 10: 3540666281
ISBN 13: 9783540666288
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Condition: New. 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 . Seller Inventory # 4897793
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