Skip to main content
SpringerLink
Log in

Singularities in Linear Wave Propagation

  • Book
  • © 1987

Overview

Authors:
  1. Lars Gårding
    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1241)

Part of the book sub series: Nankai Institute of Mathematics, Tianjin, P.R. China (2803)

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
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 (8 chapters)

  1. Front Matter

    Pages I-III
    Download chapter PDF

  2. Singularities in linear wave propagation

    • Lars Gårding
    Pages 1-9

  3. Hyperbolic operators with constant coefficients

    • Lars Gårding
    Pages 10-33

  4. Wave front sets and oscillatory integrals

    • Lars Gårding
    Pages 34-50

  5. Pseudodifferential operators

    • Lars Gårding
    Pages 51-72

  6. The Hamilton-Jacobi equation and symplectic geometry

    • Lars Gårding
    Pages 73-84

  7. A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator

    • Lars Gårding
    Pages 85-94

  8. Changes of variables and duality for general oscillatory integrals

    • Lars Gårding
    Pages 95-103

  9. Sharp and diffuse fronts of paired oscillatory integrals

    • Lars Gårding
    Pages 104-123

  10. Back Matter

    Pages 124-125
    Download chapter PDF
Back to top

Keywords

About this book

These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition.

Bibliographic Information

  • Book Title: Singularities in Linear Wave Propagation

  • Authors: Lars Gårding

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073088

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-540-18001-2Published: 10 July 1987

  • eBook ISBN: 978-3-540-47216-2Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 126

  • Topics: Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation