Large-Data Equicontinuity for the Derivative NLS
نویسندگان
چکیده
Abstract We consider the derivative nonlinear Schrödinger equation in one spatial dimension, which is known to be completely integrable. prove that orbits of $L^2$ bounded and equicontinuous sets initial data remain equicontinuous, not only under this flow, but also entire hierarchy. This allows us remove small-data restriction from prior conservation laws global well-posedness results.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2022
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab374