14 citations · 14 across the 5 of their papers we have counts for
8 papers
Periodic Cauchy Problem for one Two-dimensional Generalization of the Benjamin-Ono Equation in Sobolev Spaces of Low Regularity
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we prove that the initial value problem (IVP) associated to the two-dimensional Benjamin-Ono equation $$\left. \begin{array}{rl} u_t+\mathcal H Δu +uu_x &\hspace{-2mm}…
The Cauchy problem for a family of two-dimensional fractional Benjamin-Ono equations
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we prove that the initial value problem (IVP) associated to the fractional two-dimensional Benjamin-Ono equation $$\left. \begin{array}{rl} u_t+D_x^α u_x +\mathcal Hu_…
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 $$\partial_{t}u+\partial_{x}\triangle u+u\partial_{x}u=0 \…
A note on the Ostrovsky equation in weighted Sobolev spaces
Eddye Bustamante, José Jiménez Urrea, Jorge Mejía
In this work we consider the initial value problem (IVP) associated to the Ostrovsky equations $$\left. \begin{array}{rl} u_t+\partial_x^3 u\pm \partial_x^{-1}u +u \partial_x u &\h…
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…
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…
On the support of solutions to the Zakharov-Kuznetsov equation
Eddye Bustamante, Pedro Isaza, Jorge Mejía
In this article we prove that sufficiently smooth solutions of the Zakharov-Kuznetsov equation that have compact support for two different times are identically zero.
Galactic foreground contribution to the BEAST CMB Anisotropy Maps
Jorge Mejía, Marco Bersanelli, Carlo Burigana +17
We report limits on the Galactic foreground emission contribution to the Background Emission Anisotropy Scanning Telescope (BEAST) Ka- and Q-band CMB anisotropy maps. We estimate t…