Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Evolutionary Integral Equations and Applications

  • Book
  • © 1993

Overview

Authors:
  1. Jan Prüss

    1. Universität-GH Paderborn, Paderborn, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Monographs in Mathematics (MMA, volume 87)

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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 (13 chapters)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. Equations of Scalar Type

    1. Front Matter

      Pages 29-29
      Download chapter PDF

    2. Resolvents

      • Jan Prüss
      Pages 30-48

    3. Analytic Resolvents

      • Jan Prüss
      Pages 49-67

    4. Parabolic Equations

      • Jan Prüss
      Pages 68-89

    5. Subordination

      • Jan Prüss
      Pages 90-121

    6. Linear Viscoelasticity

      • Jan Prüss
      Pages 122-150

  3. Nonscalar Equations

    1. Front Matter

      Pages 151-151
      Download chapter PDF

    2. Hyperbolic Equations of Nonscalar Type

      • Jan Prüss
      Pages 152-184

    3. Nonscalar Parabolic Equations

      • Jan Prüss
      Pages 185-211

    4. Parabolic Problems in L p-Spaces

      • Jan Prüss
      Pages 212-235

    5. Viscoelasticity and Electrodynamics with Memory

      • Jan Prüss
      Pages 236-254

  4. Equations on the Line

    1. Front Matter

      Pages 255-255
      Download chapter PDF

    2. Integrability of Resolvents

      • Jan Prüss
      Pages 256-283

    3. Limiting Equations

      • Jan Prüss
      Pages 284-305

    4. Admissibility of Function Spaces

      • Jan Prüss
      Pages 306-322

    5. Further Applications and Complements

      • Jan Prüss
      Pages 323-345

  5. Back Matter

    Pages 347-369
    Download chapter PDF
Back to top

Keywords

About this book

During the last two decades the theory of abstract Volterra equations has under­ gone rapid development. To a large extent this was due to the applications of this theory to problems in mathematical physics, such as viscoelasticity, heat conduc­ tion in materials with memory, electrodynamics with memory, and to the need of tools to tackle the problems arising in these fields. Many interesting phenomena not found with differential equations but observed in specific examples of Volterra type stimulated research and improved our understanding and knowledge. Al­ though this process is still going on, in particular concerning nonlinear problems, the linear theory has reached a state of maturity. In recent years several good books on Volterra equations have appeared. How­ ever, none of them accounts for linear problems in infinite dimensions, and there­ fore this part of the theory has been available only through the - meanwhile enor­ mous - original literature, so far. The present monograph intends to close this gap. Its aim is a coherent exposition of the state of the art in the linear theory. It brings together and unifies most of the relevant results available at present, and should ease the way through the original literature for anyone intending to work on abstract Volterra equations and its applications. And it exhibits many prob­ lems in the linear theory which have not been solved or even not been considered, so far.

Authors and Affiliations

  • Universität-GH Paderborn, Paderborn, Germany

    Jan Prüss

Bibliographic Information

  • Book Title: Evolutionary Integral Equations and Applications

  • Authors: Jan Prüss

  • Series Title: Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8570-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1993

  • Hardcover ISBN: 978-3-7643-2876-4Published: 01 September 1993

  • Softcover ISBN: 978-3-0348-9685-6Published: 23 August 2014

  • eBook ISBN: 978-3-0348-8570-6Published: 09 November 2013

  • Series ISSN: 1017-0480

  • Series E-ISSN: 2296-4886

  • Edition Number: 1

  • Number of Pages: XXVI, 366

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Publish with us

Policies and ethics

Back to top

Search

Navigation