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

Published 29 May 2024 in math.AP | (2405.19526v2)

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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