Evolution Equations of Hyperbolic and Schrödinger Type

Asymptotics, Estimates and Nonlinearities

  • Michael Ruzhansky
  • Mitsuru Sugimoto
  • Jens Wirth

Part of the Progress in Mathematics book series (PM, volume 301)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Nikolaos Bournaveas, Vincent Calvez
    Pages 41-52
  3. Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 63-85
  4. Shantanu Dave, Günther Hörmann, Michael Kunzinger
    Pages 87-102
  5. Günther Hörmann, Michael Kunzinger, Roland Steinbauer
    Pages 163-186
  6. K. Mochizuki, I. Yu. Trooshin
    Pages 227-245
  7. Cesare Parenti, Alberto Parmeggiani
    Pages 247-266
  8. Michael Ruzhansky, Mitsuru Sugimoto, Baoxiang Wang
    Pages 267-283
  9. Sergio Spagnolo, Giovanni Taglialatela
    Pages 301-313

About this book


Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a variety of ongoing current research in the field and allows researchers as well as students to grasp new aspects and broaden their understanding of the area.


Schrödinger equations generalized functions hyperbolic equations partial differential equations pseudo-differential operators

Editors and affiliations

  • Michael Ruzhansky
    • 1
  • Mitsuru Sugimoto
    • 2
  • Jens Wirth
    • 3
  1. 1., Department of MathematicsImperial College LondonLondonUnited Kingdom
  2. 2., Graduate School of MathematicsNagoya UniversityNagoyaJapan
  3. 3., Fachbereich MathematikUniversität StuttgartStuttgartGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Basel 2012
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0453-0
  • Online ISBN 978-3-0348-0454-7
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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