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Article Dans Une Revue Journal of Applied Analysis Année : 2015

Asymptotic behavior of small solution of the Benjamin-Ono equations with time dependent coefficients

Résumé

We study the behavior of small solutions depending on time of the generalized and regularized Benjamin-Ono equation in both continuous and periodic context. In particular, we prove that these solutions remain small for a time scale improving the natural time given by the local well-posedness. In the continuous case, the result becomes global in time.
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Dates et versions

hal-01090309 , version 1 (03-12-2014)

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Youcef Mammeri. Asymptotic behavior of small solution of the Benjamin-Ono equations with time dependent coefficients. Journal of Applied Analysis, 2015, ⟨10.1515/jaa-2015-0002⟩. ⟨hal-01090309⟩
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