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Article Dans Une Revue Advances in Differential Equations Année : 2005

KORTEWEG-DE VRIES AND BENJAMIN-ONO EQUATIONS ON ZHIDKOV SPACES

Résumé

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.
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Dates et versions

hal-01960979 , version 1 (08-01-2019)

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  • HAL Id : hal-01960979 , version 1

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Clément Gallo. KORTEWEG-DE VRIES AND BENJAMIN-ONO EQUATIONS ON ZHIDKOV SPACES. Advances in Differential Equations, 2005, 10, pp.277 - 308. ⟨hal-01960979⟩
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