54 citations · 191 across the 45 of their papers we have counts for
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Global well-posedness for the k-dispersion generalized Benjamin-Ono equation
Luiz Gustavo Farah, Felipe Linares, Ademir Pastor
We consider the -dispersion generalized Benjamin-Ono equation in the supercritical case. We establish sharp conditions on the data to show global well-posedness in the energy sp…
On decay properties of solutions of the -generalized KdV equations
Pedro Isaza, Felipe Linares, Gustavo Ponce
We prove special decay properties of solutions to the initial value problem associated to the -generalized Korteweg-de Vries equation. These are related with persistence propert…
Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain
Felipe Linares, Lionel Rosier
It was proved by Linares and Ortega that the linearized Benjamin-Ono equation posed on a periodic domain T with a distributed control supported on an arbitrary subdomain is exactly…
On the Cauchy problem for a Boussinesq type system
Felipe Linares, Mahendra Panthee, Jorge Drumond Silva
We consider the initial value problem (IVP) associated to a Boussinesq type system. After rewriting the system in an equivalent form of coupled KdV-type equations, we prove that th…
The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation
David Lannes, Felipe Linares, Jean-Claude Saut
We consider in this paper the rigorous justification of the Zakharov-Kuznetsov equation from the Euler-Poisson system for uniformly magnetized plasmas. We first provide a proof of…
Well-posedness results for the dispersion generalized Benjamin-Ono equation via the contraction principle
Germán Fonseca, Felipe Linares, Gustavo Ponce
We study the initial value problem associated to the dispersion generalized Benjamin-Ono equation. Our aim is to establish well-posedness results in weighted Sobolev spaces via con…