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Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions

Cohen, David ; Hairer, Ernst ; Lubich, Christian

In: Archive for Rational Mechanics and Analysis, 2008, vol. 187, no. 2, p. 341-368

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    Titel
    • Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
    Autor
    • Cohen, David. Mathematisches Institut, Univ. Basel, 4051, Basel, Switzerland
    • Hairer, Ernst. Dept. de Mathématiques, Univ. de Genève, 1211, Genève 4, Switzerland
    • Lubich, Christian. Mathematisches Institut, Univ. Tübingen, 72076, Tübingen, Germany
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Archive for Rational Mechanics and Analysis, 2008, vol. 187, no. 2, p. 341-368. Springer-Verlag
    Andere elektronische Ausgabe
    Klassifikation
    • Mathematik
    OAI-PMH-ID
    • oai:doc.rero.ch:312598
    Summary
    A modulated Fourier expansion in time is used to show long-time near- conservation of the harmonic actions associated with spatial Fourier modes along the solutions of nonlinear wave equations with small initial data. The result implies the long-time near-preservation of the Sobolev-type norm that specifies the smallness condition on the initial data