## Scattering theory for the d'Alembert equation in exterior domains |

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### Contents

Preface | 1 |

in mn | 14 |

Solutions of the dAlembert Equation | 39 |

Copyright | |

5 other sections not shown

### Other editions - View all

Scattering Theory for the D'Alembert Equation in Exterior Domains Calvin H. Wilcox No preview available - 2014 |

Scattering Theory for the d'Alembert Equation in Exterior Domains Calvin H. Wilcox No preview available - 2006 |

### Common terms and phrases

Applications arbitrary domains ft asymptotic behavior asymptotic wave functions boundary value problem bounded completes the proof continuous converges Corollary 6.2 d'Alembert equation defined definition denote distorted plane waves equivalent existence f and g f e L ft follows Fourier transform Frechet space ft e LC Fubini's theorem given in Lecture gives h e D(A hence Hilbert space implies Lebesgue Lebesgue measurable Lemma Let ft limiting absorption theorem Moreover Neumann condition notation Note Plancherel theory PROOF OF THEOREM radiation condition Rellich Rellich's theorem representation right-hand side scattering theory Schwartz space selfadjoint solu solutions wFE spectral family spectral theorem steady-state scattering problem supp t e TR tends to zero Theorem 7.1 tion triangle inequality u e L A,ft unique verify wave operators x e ft x e Rn x)dx