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

Qifan Li | Zendy

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

Author(s) -

Qifan Li

Publication year - 2012

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2012.11.1097

Subject(s) - korteweg–de vries equation , mathematics , mathematical analysis , differential equation , work (physics) , analytic function , pure mathematics , physics , nonlinear system , quantum mechanics , thermodynamics

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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