Local well-posedness in L^2 is established for the ZK equation on a half-strip using adapted Bourgain spaces, anisotropic smoothing, and boundary trace estimates.
Faminskii,An initial-boundary value problem in a strip for the Zakharov–Kuznetsov equation, Ann
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Low-regularity well-posedness for the ZK equation on a half-strip
Local well-posedness in L^2 is established for the ZK equation on a half-strip using adapted Bourgain spaces, anisotropic smoothing, and boundary trace estimates.