Quasi-Periodic Solutions of Nonlinear Wave Equations on the d-Dimensional Torus

Quasi-Periodic Solutions of Nonlinear Wave Equations on the $d$ -Dimensional Torus

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	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–xi
	ContentsDownload pp. xiii–xv
1	IntroductionDownload pp. 1–18
2	KAM for PDEs and strategy of proofpp. 19–68
3	Hamiltonian formulationpp. 69–76
4	Functional settingpp. 77–111
5	Multiscale Analysispp. 113–164
6	Nash–Moser theorempp. 165–174
7	Linearized operator at an approximate solutionpp. 175–188
8	Splitting of low-high normal subspaces up to $O (ϵ^{4})$ pp. 189–198
9	Approximate right inverse in normal directionspp. 199–203
10	Splitting between low-high normal subspacespp. 205–245
11	Construction of approximate right inversepp. 247–270
12	Proof of the Nash–Moser Theorempp. 271–294
13	Genericity of the assumptionspp. 295–310
A	Hamiltonian and reversible PDEspp. 311–318
B	Multiscale Steppp. 319–336
C	Normal form close to an isotropic toruspp. 337–348
	Bibliographypp. 349–355
	Indexpp. 357–358