Non-Fiction Books:

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.
Release date Australia
November 17th, 1999
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Edition
1999 ed.
Illustrations
VIII, 268 p.
Pages
268
Dimensions
156x234x14
ISBN-13
9783540666288
Product ID
2803179

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