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arxiv: 1509.08977 · v1 · pith:MQXVHTOAnew · submitted 2015-09-30 · 🧮 math.AP

Local well-posedness for the KdV hierarchy at high regularity

classification 🧮 math.AP
keywords hierarchyhighregularitywell-posednessclassdispersiveequationsgeneralizing
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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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