Skip to main content
SpringerLink
Log in

Non-Homogeneous Boundary Value Problems and Applications

Volume II

  • Book
  • © 1972

Overview

Authors:
  1. J. L. Lions

    1. University of Paris, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. E. Magenes

    1. University of Pavia, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 182)

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 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
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 (3 chapters)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Parabolic Evolution Operators. Hilbert Theory

    • J. L. Lions, E. Magenes
    Pages 1-90

  3. Hyperbolic Evolution Operators, of Petrowski and of Schroedinger. Hilbert Theory

    • J. L. Lions, E. Magenes
    Pages 91-156

  4. Applications to Optimal Control Problems

    • J. L. Lions, E. Magenes
    Pages 157-207

  5. Back Matter

    Pages 208-244
    Download chapter PDF
Back to top

Keywords

About this book

I. In this second volume, we continue at first the study of nonยญ homogeneous boundary value problems for particular classes of evoluยญ tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators wellยญ defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Apยญ pendix. Still other applications, for example to numerical analysis, will be given in Volume 3.

Authors and Affiliations

  • University of Paris, France

    J. L. Lions

  • University of Pavia, Italy

    E. Magenes

Bibliographic Information

  • Book Title: Non-Homogeneous Boundary Value Problems and Applications

  • Book Subtitle: Volume II

  • Authors: J. L. Lions, E. Magenes

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-65217-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag, Berlin ยท Heidelberg 1972

  • Softcover ISBN: 978-3-642-65219-6Published: 12 November 2011

  • eBook ISBN: 978-3-642-65217-2Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: XII, 244

  • Additional Information: Title of the original French edition: Problemes aus limites non homogenes et applications

  • Topics: Numerical Analysis

  • Industry Sectors: Energy, Utilities & Environment, IT & Software

Publish with us

Policies and ethics

Back to top

Search

Navigation