@article{d814f86f7896474caf1ea2145a2fcda1,
title = "Sharp well-posedness for the generalized KdV of order three on the half line",
abstract = "In this paper we study the generalized Korteweg–de Vries (KdV) equation with the nonlinear term of order three: (u3+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 Colliander and Kenig (2002).",
keywords = "KdV system, Restricted norm method, gKdV system initial–boundary value problems",
author = "E. Compaan and N. Tzirakis",
note = "Funding Information: We thank Prof. Bingyu Zhang for useful discussions regarding this problem. The first author was supported by NSF MSPRF, United States of America #1704865 . The second author{\textquoteright}s work was supported by a grant from the Simons Foundation ( #355523 Nikolaos Tzirakis) and the Illinois Research Board, United States of America RB18051 . Funding Information: We thank Prof. Bingyu Zhang for useful discussions regarding this problem. The first author was supported by NSF MSPRF, United States of America#1704865. The second author's work was supported by a grant from the Simons Foundation (#355523 Nikolaos Tzirakis) and the Illinois Research Board, United States of AmericaRB18051. Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",
year = "2020",
month = jan,
day = "15",
doi = "10.1016/j.physd.2019.132208",
language = "English (US)",
volume = "402",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
}