On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle (Q511515)
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scientific article; zbMATH DE number 6687591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle |
scientific article; zbMATH DE number 6687591 |
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On the growth of Sobolev norms of solutions of the fractional defocusing NLS equation on the circle (English)
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21 February 2017
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The author presents a study of large-time bounds for the Sobolev norms of solutions of a fractional cubic Schrödinger equation on the torus. The author shows that such solutions grow at a polynomial rate at most, corresponding to a half-wave equation with no-dispersive property at all. The case for cubic and quadratic half-wave equations is also discussed.
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Hamiltonian system
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fractional nonlinear Schrödinger equation
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nonlinear wave equation
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