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.
Kato,On the Korteweg–de Vries equation, Manuscripta Math.28(1979), 89–99
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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.