Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators: 1718 (Lecture Notes in Mathematics, 1718) - Softcover

Eberle, Andreas

 
9783540666288: Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators: 1718 (Lecture Notes in Mathematics, 1718)
Softcover
ISBN 10: 3540666281 ISBN 13: 9783540666288
Publisher: Springer, 1999

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.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1999
Language
English
ISBN 10 
3540666281
ISBN 13 
9783540666288
Binding
Paperback
Number of pages
276