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arXiv · 1902.07161

Sharp well--posedness for the generalized KdV of order three on the half line

Erin Leigh Compaan·Nikolaos Tzirakis
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Abstract

In this paper we study the generalized Korteweg de Vries (KdV) equation with the nonlinear term of order three: $(u^{3+1})_x$. We prove sharp local well--posedness for the initial and boundary value problem posed on the right half line. We thus close the gap in the well--posedness theory of the generalized KdV which remained open after the seminal work of Colliander and Kenig in \cite{CK}.

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Erin Leigh Compaan, Nikolaos Tzirakis. 2019-02-19. Sharp well--posedness for the generalized KdV of order three on the half line. https://doi.org/10.1016/j.physd.2019.132208

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