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Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions
Department of Mathematical Sciences, NTNU.ORCID iD: 0000-0001-6490-1957
Section de Mathématiques, Université de Genève.
Mathematisches Institut, Universität Tübingen.
2008 (English)In: Archive for Rational Mechanics and Analysis, ISSN 0003-9527, E-ISSN 1432-0673, Vol. 187, no 2, 341-368 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 187, no 2, 341-368 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-59171DOI: 10.1007/s00205-007-0095-zISI: 000251618200004OAI: oai:DiVA.org:umu-59171DiVA: diva2:551363
Available from: 2012-09-11 Created: 2012-09-11 Last updated: 2017-12-07Bibliographically approved

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