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Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

By Andreas Eberle

Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators Mathematics

Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators

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Description
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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
268
Release Date:
2009-02-22
Publication Date:
1999-11-17
Publisher:
Springer Berlin
Languages:
Original: English
ISBN10:
3540666281
ISBN13:
9783540666288
GPSR Manufacturer Reference:
[email protected]
Weight:
363 g
Height:
155 cm
Width:
235 cm
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