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

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 $Z_{s,(r_1,r_2)}:=H^s({\mathbb{R}}^2)\cap L^2((1+|x{|}^{2r_1}+|y{|}^{2r_2})dxdy)$.

References in corpus (1)

• On decay of solutions to some perturbations of the Korteweg-de Vries equation