Cohen, David and Hairer, Ernst and Lubich, Christian. (2008) Long-time analysis of nonlinearly perturbed wave equations via modulated Fourier expansions. Archive for rational mechanics and analysis, Vol. 187, H. 2. pp. 341-368.
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Official URL: http://edoc.unibas.ch/dok/A5248842
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Abstract
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.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Numerik (Cohen) |
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| UniBasel Contributors: | Cohen, David |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Springer |
| ISSN: | 0003-9527 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
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| Identification Number: |
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| Last Modified: | 22 Mar 2012 14:27 |
| Deposited On: | 22 Mar 2012 13:58 |
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