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.
Domains
Mathematics [math]
Origin : Files produced by the author(s)
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