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

Cohen, David; Hairer, Ernst; Lubich, Christian

doi:10.1007/s00205-007-0095-z

Scientific article

English

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

ContributorsCohen, David; Hairer, Ernst; Lubich, Christian

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

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Accepted version)

Identifiers

PID : unige:5204
DOI : 10.1007/s00205-007-0095-z

Additional URL for this publicationhttp://www.springerlink.com/content/r2108352p1515483/?p=744d339daf9e4a1b9ea09986d34e8ec5&pi=1

Journal ISSN0003-9527

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

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