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Mathématiques et Applications
cover

Lectures on Nonlinear Hyperbolic Differential Equations

Authors: Hörmander, Lars

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Softcover 41,59 €
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  • ISBN 978-3-540-62921-4
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About this Textbook

This introduction to the theory of nonlinear hyperbolic differential equations, a revised and extended version of widely circulated lecture notes from 1986, starts from a very elementary level with standard existence and uniqueness theorems for ordinary differential equations, but they are at once supplemented with less well-known material, required later on. A detailed and explicit study of discontinuous solutions of a model equation, Burgers' equation, is then followed by a general study of solutions of conservation laws, with one unknown or one space variable. Asymptotic properties of solutions of the linear wave equation and the Klein-Gordon equation are studied in detail as a preparation for the study of solutions of nonlinear perturbations with small and smooth initial data. Existence of solutions for all times is proved for large space dimensions and lower bounds for the "lifespan" of the solutions are given in low space dimensions. The last four chapters are devoted to microlocal analysis of singularities of solutions of nonlinear differential equations by means of the paradifferential techniques of J.-M. Bony.

Buy this book

Softcover 41,59 €
price for Spain (gross)
  • ISBN 978-3-540-62921-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules

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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Nonlinear Hyperbolic Differential Equations
Authors
Series Title
Mathématiques et Applications
Series Volume
26
Copyright
1997
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Softcover ISBN
978-3-540-62921-4
Series ISSN
1154-483X
Edition Number
1
Number of Pages
VIII, 290
Topics

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