Global well-posedness and scattering for the 2D modified Zakharov-Kuznetsov equation

2025/07/31 by Correia, Simão, Kinoshita, Shinya
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.23397

Abstract

We consider the Cauchy problem associated with the modified Zakharov-Kuznetsov equation over ℝ². Taking into consideration the associated dispersive effects, we introduce, for s,a≥ 0, a two-parameter space H^s,a(ℝ²), which scales as the classic H^s spaces. In this new class, we prove local well-posedness for s+a≥ 1/4, 0

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Related

• A note on the 2D generalized Zakharov-Kuznetsov equation: local, global, and scattering results
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