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Well-Posedness for KdV-Type Equations with Second-Order Derivative Nonlinearities
We study a class of complex-valued KdV-type equations with cubic second-order derivative nonlinearities and arbitrary complex coefficients. For sufficiently small initial data in $L^2$, we prove local well-posedness in $H^s(\mathbb R)$ for $s\ge3/4$. The key ingredient is a family of dyadic resoluti
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