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Sharp well- posedness for the cubic NLS and mKdV in H s(R)

Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan · 2020 · arXiv 2003.05011

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Wellposedness for the KdV hierarchy

math.AP · 2023-09-22 · unverdicted · novelty 6.0

Proves wellposedness in H^{-1} for the full KdV hierarchy by relating it to the Gardner hierarchy via the Miura map and applying Kato smoothing estimates.

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  • Wellposedness for the KdV hierarchy math.AP · 2023-09-22 · unverdicted · none · ref 25

    Proves wellposedness in H^{-1} for the full KdV hierarchy by relating it to the Gardner hierarchy via the Miura map and applying Kato smoothing estimates.