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Lectures on Nonlinear Hyperbolic Differential Equations

  • Textbook
  • © 1997

Overview

Authors:
  1. Lars Hörmander

    1. Lund, Sweden

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  • The book is a revised and extended version of Lars Hörmander's widely circulated lecture notes from 1986-87.

Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 26)

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Keywords

  • nicht lineare hyperbolische Differentialgleichungen
  • nonlinear hyperbolic differential equations
  • partial differential equations

About this book

In this introductory textbook, a revised and extended version of well-known lectures by L. Hörmander from 1986, four chapters are devoted to weak solutions of systems of conservation laws. Apart from that the book only studies classical solutions. Two chapters concern the existence of global solutions or estimates of the lifespan for solutions of nonlinear perturbations of the wave or Klein-Gordon equation with small initial data. Four chapters are devoted to microanalysis of the singularities of the solutions. This part assumes some familiarity with pseudodifferential operators which are standard in the theory of linear differential operators, but the extension to the more exotic classes of opertors needed in the nonlinear theory is presented in complete detail.

Authors and Affiliations

  • Lund, Sweden

    Lars Hörmander

Bibliographic Information

  • Book Title: Lectures on Nonlinear Hyperbolic Differential Equations

  • Authors: Lars Hörmander

  • Series Title: Mathématiques et Applications

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62921-4Published: 17 July 1997

  • Series ISSN: 1154-483X

  • Series E-ISSN: 2198-3275

  • Edition Number: 1

  • Number of Pages: VIII, 290

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