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Phase Space Analysis of Partial Differential Equations

  • Antonio Bove
  • Ferruccio Colombini
  • Daniele Del Santo

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 69)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Hajer Bahouri, Jean-Yves Chemin, Chao-Jiang Xu
    Pages 1-15
  3. Jean-Michel Bony, Ferruccio Colombini, Ludovico Pernazza
    Pages 45-53
  4. Nicolas Burq, Fabrice Planchon
    Pages 55-62
  5. Paulo D. Cordaro, Nicholas Hanges
    Pages 83-94
  6. Daniele Del Santo, Martino Prizzi
    Pages 95-105
  7. Gregory Eskin
    Pages 107-116
  8. Alberto Parmeggiani
    Pages 247-266

About this book

Introduction

This collection of original articles and surveys treats linear and nonlinear aspects of the theory of partial differential equations. Phase space analysis methods, also known as microlocal analysis, have yielded striking results over the past years and have become one of the main tools of investigation. Equally important is their role in many applications to physics, for example, in quantum and spectral theory.

Key topics:

* The Cauchy problem for linear and nonlinear hyperbolic equations

* Scattering theory

* Inverse problems

* Hyperbolic systems

* Gevrey regularity of solutions of PDEs

* Analytic hypoellipticity

and unique features:

* Original articles are self-contained with full proofs

* Survey articles give a quick and direct introduction to selected topics evolving at a fast pace

Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.

Keywords

Microlocal analysis Potential hyperbolic equation partial differential equation scattering theory wave equation

Editors and affiliations

  • Antonio Bove
    • 1
  • Ferruccio Colombini
    • 2
  • Daniele Del Santo
    • 3
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly
  2. 2.Dipartimento di MatematicaUniversità di PisaPisaItaly
  3. 3.Dipartimento di Scienze MatematicheUniversità di TriesteTriesteItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4521-2
  • Copyright Information Birkhäuser Boston 2007
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4511-3
  • Online ISBN 978-0-8176-4521-2
  • Series Print ISSN 1421-1750
  • Series Online ISSN 2374-0280
  • Buy this book on publisher's site