Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces
Analysis of PDEs
2022-07-12 v1
Abstract
The initial value problem for two-dimensional Zakharov-Kuznetsov equation on periodic boundary setting is shown to be locally well-posed in the cylinder for 9/10 < s < 1. We prove this theorem by using bilinear estimates thinking separetely the first variable and the second variable of space.
Keywords
Cite
@article{arxiv.2207.04657,
title = {Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces},
author = {Satoshi Osawa},
journal= {arXiv preprint arXiv:2207.04657},
year = {2022}
}