On the boundary‐value problem for the Korteweg–de Vries equation
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Publication:3043404
DOI10.1098/rspa.2003.1147zbMath1050.35099OpenAlexW1990314360MaRDI QIDQ3043404
Elena I. Kaikina, J. L. Guardado Zavala, Nakao Hayashi
Publication date: 6 August 2004
Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2003.1147
existenceuniquenessKorteweg-de Vries equationlarge-time asymptoticsnonlinear evolution equationhalf-line
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)
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Nonlinear nonlocal Whitham equation on a segment ⋮ Eventual periodicity for the KdV equation on a half-line ⋮ Decay of solutions to damped Korteweg-de Vries type equation ⋮ Global well-posedness and exponential decay rates for a KdV-Burgers equation with indefinite damping ⋮ Control and stabilization of the Korteweg-de Vries equation: recent progresses ⋮ An asymptotic solution to nonlinear transmission lines ⋮ Neumann problem for the Korteweg--de Vries equation ⋮ ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE
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