The Korteweg-de Vries Equation, Posed in a Quarter Plane.

Abstract
An initial- and boundary-value problem for the Korteweg-de Vries equation is shown to be well-posed. The considered problem may serve as a model for unidirectional propagation of plane waves generated by a wavemaker in a uniform medium. Such models apply in regimes in which nonlinear and dispersive effects are of comparable small order. (Author)

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