Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes

Qifan Li

Type: Article

Publication Date: 2012-01-01

Citations: 18

DOI: https://doi.org/10.3934/cpaa.2012.11.1097

Abstract

Motivated by the work of Grujić and Kalisch, [Z. Grujić and H.Kalisch, Local well-posedness of the generalized Korteweg-deVries equation in spaces of analytic functions, Differential andIntegral Equations 15 (2002) 1325--1334], we prove the localwell-posedness for the periodic KdV equation in spaces of periodicfunctions analytic on a strip around the real axis without shrinkingthe width of the strip in time.

Locations

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+	Solutions of the (generalized) Korteweg-de Vries equation in the Bergman and the Szegö spaces on a sector	1991	Nakao Hayashi
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+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Analyticity of Solutions of the Korteweg–De Vries Equation	1991	Nakao Hayashi
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+ PDF Chat	Rapid convergence of a Galerkin projection of the KdV equation	2005	Henrik Kalisch
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