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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Peter D Lax |

ISBN: | 9780821835760 0821835769 |

OCLC Number: | 70867119 |

Description: | vii, 217 p. : ill. ; 26 cm. |

Contents: | Basic notions -- Finite speed of propagation of signals -- Hyperbolic equations with constant coefficients -- Hyperbolic equations with variable coefficients -- Pseudodifferential operators and energy inequalities references -- Existence of solutions -- Waves and rays -- Finite difference approximation to hyperbolic equations -- Scattering theory -- Hyperbolic systems of conservation laws -- Huygens' principle for the wave equation on odd-dimentsinal spheres -- Hyperbolic polynomials -- Multiplicity of eigenvalues -- Mixed initial and boundary value problems -- Energy decay for star-shaped obstacles. |

Series Title: | Courant lecture notes in mathematics, 14. |

Responsibility: | Peter D. Lax ; with an appendix by Cathleen S. Morawetz. |

More information: |

### Abstract:

The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book presents an introduction to various facets of the theory.
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