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arXiv · 2107.12297

$H^s$ Bounds for the Derivative Nonlinear Schr\"odinger Equation

Hajer Bahouri·Trevor M. Leslie·Galina Perelman
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Abstract

We study the derivative nonlinear Schr\"odinger equation on the real line and obtain global-in-time bounds on high order Sobolev norms.

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Hajer Bahouri, Trevor M. Leslie, Galina Perelman. 2021-07-26. $H^s$ Bounds for the Derivative Nonlinear Schr\"odinger Equation. https://doi.org/10.1007/s00222-022-01113-0

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