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math.AP2014
The Zakharov-Kuznetsov equation in weighted Sobolev spaces
Eddye Bustamante, José Jiménez, Jorge Mejía
In this work we consider the initial value problem (IVP) associated to the two dimensional Zakharov-Kuznetsov equation $$\left. \begin{array}{rl} u_t+\partial_x^3 u+\partial_x \par…
math.AP2013
The Cauchy problem for a fifth order KdV equation in weighted Sobolev spaces
Eddye Bustamante, José Jiménez, Jorge Mejía
In this work we study the initial value problem (IVP) for the fifth order KdV equations, \begin{align*} \partial_{t}u+\partial_{x}^{5}u+u^k\partial_{x}u=0,\text{} & \quad x,t\in \m…