Asymptotic behavior of small solutions of the Benjamin–Ono equation with time-dependent coefficients
Asymptotic behavior of small solutions of the Benjamin–Ono equation 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, …