Asymptotic behavior of small solution of the Benjamin-Ono equations with time dependent coefficients - Archive ouverte HAL Access content directly
Journal Articles Journal of Applied Analysis Year : 2015

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

Abstract

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.
Fichier principal
Vignette du fichier
2013_11_BOtimeDep_preprint.pdf (552.25 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

Cite

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⟩
61 View
57 Download

Altmetric

Share

Gmail Facebook X LinkedIn More