Low-regularity well-posedness for the ZK equation on a half-strip

E Avelino; G Doronin

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arXiv · 2605.23092

Low-regularity well-posedness for the ZK equation on a half-strip

E Avelino·G Doronin

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Abstract

Studied here is the Zakharov--Kuznetsov equation with a linear transport term posed on a half-strip with nonhomogeneous boundary condition. Using Bourgain-type spaces adapted to the ZK dispersive structure, anisotropic smoothing and boundary trace estimates, we establish its local well-posedness in $L^2.$

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E Avelino, G Doronin. 2026-05-21. Low-regularity well-posedness for the ZK equation on a half-strip. https://arxiv.org/abs/2605.23092

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