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  • © 2012

Evolution Equations of Hyperbolic and Schrödinger Type

Asymptotics, Estimates and Nonlinearities

Birkhäuser

Editors:

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  • Overview of a variety of ongoing current research in the field of equations of hyperbolic and Schrödinger types Can serve as a quick introduction to different aspects of the theory of evolution partial differential equations from pure and applied points of view ?

  • Includes supplementary material: sn.pub/extras

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

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  • ISBN: 978-3-0348-0454-7
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Table of contents (17 chapters)

  1. Front Matter

    Pages i-viii
  2. Kinetic Models of Chemotaxis

    • Nikolaos Bournaveas, Vincent Calvez
    Pages 41-52
  3. Time-Frequency Analysis of Schrödinger Propagators

    • Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 63-85
  4. Geometric Regularization on Riemannian and Lorentzian Manifolds

    • Shantanu Dave, Günther Hörmann, Michael Kunzinger
    Pages 87-102
  5. Wave Equations on Non-smooth Space-times

    • Günther Hörmann, Michael Kunzinger, Roland Steinbauer
    Pages 163-186
  6. On the Scattering on a Loop-shaped Graph

    • K. Mochizuki, I. Yu. Trooshin
    Pages 227-245
  7. On the Cauchy Problem for Hyperbolic Operators with Double Characteristics

    • Cesare Parenti, Alberto Parmeggiani
    Pages 247-266
  8. Modulation Spaces and Nonlinear Evolution Equations

    • Michael Ruzhansky, Mitsuru Sugimoto, Baoxiang Wang
    Pages 267-283
  9. Local in Space Energy Estimates for Second-order Hyperbolic Equations

    • 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.

Keywords

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

Editors and Affiliations

  • , Department of Mathematics, Imperial College London, London, United Kingdom

    Michael Ruzhansky

  • , Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    Mitsuru Sugimoto

  • , Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

    Jens Wirth

Bibliographic Information

Buying options

eBook
USD 89.00
Price excludes VAT (USA)
  • ISBN: 978-3-0348-0454-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 139.00
Price excludes VAT (USA)
Hardcover Book
USD 119.99
Price excludes VAT (USA)