English

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

Analysis of PDEs 2025-07-16 v2
Authors: 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 Zs,(r1,r2):=Hs(R2)∩L2((1+∣x∣2r1+∣y∣2r2)dxdy)Z_{s,(r_1,r_2)}:=H^s(\R^2)\cap L^2((1+|x|^{2r_1}+|y|^{2r_2})dxdy).

Keywords

modified Zakharov-Kuznetsov equation decay regularity weighted Sobolev space

Cite

@article{arxiv.2405.19526,
  title  = {On decay and regularity of solutions to the modified 2D Zakharov-Kuznetsov equation},
  author = {Eddye Alejandro Bustamante and Jose Manuel Jiménez and Alexander Muñoz},
  journal= {arXiv preprint arXiv:2405.19526},
  year   = {2025}
}

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