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2005 Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces
Clément Gallo
Adv. Differential Equations 10(3): 277-308 (2005).

Abstract

Motivated by the study of the Cauchy problem with bore-like initial data, we show the "well-posedness" for Korteweg-de Vries and Benjamin-Ono equations with initial data in Zhidkov spaces $X^s$, with respectively $s>1$ and $s>5/4$. Here, "well-posedness" includes local (global in some cases) existence, uniqueness under a supplementary assumption, and continuity with respect to the initial data.

Citation

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Clément Gallo. "Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces." Adv. Differential Equations 10 (3) 277 - 308, 2005.

Information

Published: 2005
First available in Project Euclid: 18 December 2012

zbMATH: 1107.35099
MathSciNet: MR2123133

Subjects:
Primary: 35Q53
Secondary: 35A05, 35A07

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.10 • No. 3 • 2005
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