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arXiv · 1509.08977

Local well-posedness for the KdV hierarchy at high regularity

Carlos Kenig·Didier Pilod
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Abstract

We prove well-posedness in $L^2$-based Sobolev spaces $H^s$ at high regularity for a class of nonlinear higher-order dispersive equations generalizing the KdV hierarchy both on the line and on the torus.

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Carlos Kenig, Didier Pilod. 2015-09-30. Local well-posedness for the KdV hierarchy at high regularity. https://arxiv.org/abs/1509.08977

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