Differential and Integral Equations

Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions

Zoran Grujić and Henrik Kalisch

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Abstract

Local well-posedness for the generalized KdV equation is obtained in a class of functions analytic on a strip around the real axis without shrinking the width of the strip in time. The proof relies on space-time estimates that previously have been used mainly for low-regularity spaces.

Article information

Source
Differential Integral Equations, Volume 15, Number 11 (2002), 1325-1334.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060724

Mathematical Reviews number (MathSciNet)
MR1920689

Zentralblatt MATH identifier
1031.35124

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx]

Citation

Grujić, Zoran; Kalisch, Henrik. Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. Differential Integral Equations 15 (2002), no. 11, 1325--1334. https://projecteuclid.org/euclid.die/1356060724


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