paper

Local well-posedness for the Zakharov-Kuznetsov equation in Sobolev spaces

arXiv:2207.04657

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.

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