Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators (Paperback) (ISBN-13: 9783540666288)

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.

Author: Andreas Eberle
ISBN-10: 3540666281
ISBN-13: 9783540666288
Publisher: Springer
Language: English
Published: 11/17/1999
Pages: 268
Format: Paperback
Weight: 0.86lbs
Size: 9.21h x 6.14w x 0.58d