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,The Cauchy problem for the Zakharov–Kuznetsov equation, Differential Equations31(1995), 1002–1012
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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.