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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.AP2010
The supercritical generalized KdV equation: Global well-posedness in the energy space and below
Luiz Gustavo Farah, Felipe Linares, Ademir Pastor
We consider the generalized Korteweg-de Vries (gKdV) equation , where is an integer number and . In the focusing…