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arxiv: 1708.05362 · v1 · pith:RNYWOFRMnew · submitted 2017-08-17 · 🧮 math.AP

Low regularity conservation laws for integrable PDE

classification 🧮 math.AP
keywords conservationintegrablelawsmethodregularityapplicationcircleexhibit
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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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