Local well-posedness for the KdV hierarchy at high regularity

2015/09/30 by Kenig, Carlos, Pilod, Didier
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.08977

Abstract

We prove well-posedness in L²-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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