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Scientific article
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English

Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions

Published inArchive for rational mechanics and analysis, vol. 187, no. 2, p. 341-368
Publication date2008
Abstract

A modulated Fourier expansion in time is used to show long-time near-conser-vation 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.

Keywords
  • Nonlinear wave equation
Citation (ISO format)
COHEN, David, HAIRER, Ernst, LUBICH, Christian. Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions. In: Archive for rational mechanics and analysis, 2008, vol. 187, n° 2, p. 341–368. doi: 10.1007/s00205-007-0095-z
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Article (Accepted version)
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ISSN of the journal0003-9527
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Technical informations

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