Degenerate KAM theory for partial differential equations (Q633066)
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scientific article; zbMATH DE number 5872521
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Degenerate KAM theory for partial differential equations |
scientific article; zbMATH DE number 5872521 |
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Degenerate KAM theory for partial differential equations (English)
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31 March 2011
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The authors investigate the degenerate KAM theory for a class with lower dimensional elliptic tori of PDEs as the frequencies of the linearized system depend on one parameter by using extending Rüssmann's Lemma based on the paper of \textit{H. Rüssmann} [Regul. Chaotic Dyn. 6, No. 2, 119--204 (2001; Zbl 0992.37050)].
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infinite dimensional Hamiltonian systems
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KAM theory
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analyticity
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asymptotic
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regularity
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nonlinear wave equation
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quasi-periodic solutions
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