arXiv:math/0507168 Abstract

arXiv:math/0507168 [math.AP]Abstract References Reviews Resources

The initial-boundary value problem for the Korteweg-de Vries equation

Published 2005-07-08, updated 2006-02-23Version 2

We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on the right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators, extending the techniques of Colliander-Kenig (2002).

Comments: 40 pages, no figures

Categories: math.AP

Subjects: 35Q53

Keywords: korteweg-de vries equation, initial-boundary value problem, boundary forcing operators, local well-posedness, low regularity

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