Skip to main content
SpringerLink
Log in
Book cover

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

  • Book
  • © 1999

Overview

Authors:
  1. Andreas Eberle
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1718)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Introduction

    • Andreas Eberle
    Pages 1-8

  3. Motivation and basic definitions: Uniqueness problems in various contexts

    • Andreas Eberle
    Pages 9-40

  4. Lp uniqueness in finite dimensions

    • Andreas Eberle
    Pages 41-87

  5. Markov uniqueness

    • Andreas Eberle
    Pages 89-167

  6. Probabilistic aspects of L p and Markov uniqueness

    • Andreas Eberle
    Pages 169-184

  7. First steps in infinite dimensions

    • Andreas Eberle
    Pages 185-253

  8. Back Matter

    Pages 255-260
    Download chapter PDF
Back to top

Keywords

About this book

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.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation