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arXiv · 1708.05362

Low regularity conservation laws for integrable PDE

Rowan Killip·Monica Visan·Xiaoyi Zhang
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Abstract

We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.

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Rowan Killip, Monica Visan, Xiaoyi Zhang. 2017-08-17. Low regularity conservation laws for integrable PDE. https://arxiv.org/abs/1708.05362

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