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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Paperback, 1999 ed.)
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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Paperback, 1999 ed.)
Series: Lecture Notes in Mathematics, 1718
Expected to ship within 10 - 15 working days
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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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