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math.AP2023
Well-posedness for the extended Schrödinger-Benjamin-Ono system
Felipe Linares, Argenis Mendez, Didier Pilod
In this work we prove that the initial value problem associated to the Schrödinger-Benjamin-Ono type system \begin{equation*} \left\{ \begin{array}{ll} \mathrm{i}\partial_{t}u+ \pa…
math.AP2023
On decay properties for solutions of the Zakharov-Kuznetsov equation
Argenis J. Mendez, Oscar Riaño
This work mainly focuses on the spatial decay properties of solutions to the Zakharov-Kuznetsov equation. In earlier studies for the two- and three-dimensional cases, it was establ…