Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions
Journal article, 2008

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.

Author

David Cohen

University of Basel

Ernst Hairer

University of Geneva

Christian Lubich

University of Tübingen

Archive for Rational Mechanics and Analysis

0003-9527 (ISSN) 1432-0673 (eISSN)

Vol. 187 2 341-368

Subject Categories

Mathematics

DOI

10.1007/s00205-007-0095-z

More information

Latest update

3/18/2022