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Microlocal Analysis and Nonlinear Waves

  • Michael Beals
  • Richard B. Melrose
  • Jeffrey Rauch

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 30)

About these proceedings

Introduction

This IMA Volume in Mathematics and its Applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 IMA program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t < o. If P( t, x, Dt,x) is a strictly hyperbolic operator or system then the singular support of f gives an upper bound for the singular support of u (Courant-Lax, Lax, Ludwig), namely singsupp u C the union of forward rays passing through the singular support of f.

Keywords

Laplace operator Microlocal analysis Oscillation Smooth function Volume behavior form hamiltonian system information integral online operator singularity wave wave equation

Editors and affiliations

  • Michael Beals
    • 1
  • Richard B. Melrose
    • 2
  • Jeffrey Rauch
    • 3
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  3. 3.Department of MathematicsUniversity of MichiganAnn ArborUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9136-4
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9138-8
  • Online ISBN 978-1-4613-9136-4
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site