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.
Citation
Carlos E. Kenig. Didier Pilod. "Local well-posedness for the KdV hierarchy at high regularity." Adv. Differential Equations 21 (9/10) 801 - 836, September/October 2016. https://doi.org/10.57262/ade/1465912584
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