An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation (Q633621)
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scientific article; zbMATH DE number 5871191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation |
scientific article; zbMATH DE number 5871191 |
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An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation (English)
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29 March 2011
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The authors investigate an infinite dimensional KAM theorem and its application to the small-amplitude quasi-periodic solutions of the two dimensional nonlinear Schrödinger equation with periodic boundary conditions for a class by using the Töplitz-Lipschitz property and the Fourier-Taylor series.
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Schrödinger equation
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KAM tori
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Birkhoff normal form
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weighted norm
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quasi-periodic solution
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Töplitz-Lipschitz property
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