Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorEberle, Andreas. author
TitleUniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators [electronic resource] / by Andreas Eberle
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1999
Connect tohttp://dx.doi.org/10.1007/BFb0103045
Descript VIII, 268 p. online resource

SUMMARY

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


CONTENT

Motivation and basic definitions: Uniqueness problems in various contexts -- L p uniqueness in finite dimensions -- Markov uniqueness -- Probabilistic aspects of L p and Markov uniqueness -- First steps in infinite dimensions


Mathematics Group theory Partial differential equations Potential theory (Mathematics) Probabilities Mathematics Probability Theory and Stochastic Processes Partial Differential Equations Group Theory and Generalizations Potential Theory



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram