Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
2011
Motivated by the work of Grujic and Kalisch, [Z. Grujic and H.
Kalisch, Local well-posedness of the generalized Korteweg-de
Vries equation in spaces of analytic functions , Differential and
Integral Equations 15 (2002) 1325--1334], we prove the local
well-posedness for the periodic KdV equation in spaces of periodic
functions analytic on a strip around the real axis without shrinking
the width of the strip in time.
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