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math.AP2017
The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we prove that the initial value problem (IVP) associated to the fractional two-dimensional Benjamin-Ono equation $$\left. \begin{array}{rl} u_t+D_x^α u_x +\mathcal Hu_…
math.AP2017
On the unique continuation property of solutions of the three-dimensional Zakharov-Kuznetsov equation
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
We prove that if the difference of two sufficiently smooth solutions of the three-dimensional Zakharov-Kuznetsov equation $$\partial_{t}u+\partial_{x}\triangle u+u\partial_{x}u=0 \…