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

2024/05/29 by Bustamante, Eddye Alejandro, Jiménez, Jose Manuel, Muñoz, Alexander
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.19526

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,(r1,r2):=H^s(\R²)∩ L²((1+|x|^2r₁+|y|^2r₂)dxdy).

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