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arXiv · 2405.19526

On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation

Eddye Alejandro Bustamante·Jose Manuel Jiménez·Alexander Muñoz
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Abstract

This work is devoted to study the relation between regularity and decay for solutions of the two-dimensional modified Zakharov-Kuznetsov equation in the weighted Sobolev spaces $Z_{s,(r_1,r_2)}:=H^s(\R^2)\cap L^2((1+|x|^{2r_1}+|y|^{2r_2})dxdy)$.

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Eddye Alejandro Bustamante, Jose Manuel Jiménez, Alexander Muñoz. 2024-05-29. On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation. https://doi.org/10.1007/s00030-025-01066-2

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