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math.AP2012★ 5 cited
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…
math.AP2010
Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
Felipe Linares, Ademir Pastor
This paper addresses well-posedness issues for the initial value problem (IVP) associated with the generalized Zakharov-Kuznetsov equation, namely, \{equation*} \quad \left\{\{arra…
math.AP2009★ 2 cited
Stability Properties of Periodic Standing Waves for the Klein-Gordon-Schrodinger System
F. Natali, A. Pastor
We study the existence and orbital stability/instability of periodic standing wave solutions for the Klein-Gordon-Schrödinger system with Yukawa and cubic interactions. We prove th…