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math.AP2023
Well-posedness for the extended Schrödinger-Benjamin-Ono system
Felipe Linares, Argenis Mendez, Didier Pilod
In this work we prove that the initial value problem associated to the Schrödinger-Benjamin-Ono type system \begin{equation*} \left\{ \begin{array}{ll} \mathrm{i}\partial_{t}u+ \pa…
math.AP2019
Asymptotic behavior of solutions of the dispersive generalized Benjamin-Ono equation
Felipe Linares, Argenis Mendez, Gustavo Ponce
We show that for any uniformly bounded in time solution of the dispersive generalized Benjamin-Ono equation, the limit infimum, as time goes to infinity, converge…
math.AP2019
On the propagation of regularity for solutions of the fractional Korteweg-de Vries equation
Argenis Mendez
We consider the initial value problem (IVP) for the fractional Korteweg-de Vries equation (fKdV) \begin{equation}\label{abstracteq1} \left\{ \begin{array}{ll} \partial_{t}u-D_{x}^α…