The initial-boundary value problem for the Korteweg-de Vries equation
Analysis of PDEs
2007-05-23 v2
Abstract
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).
Cite
@article{arxiv.math/0507168,
title = {The initial-boundary value problem for the Korteweg-de Vries equation},
author = {Justin Holmer},
journal= {arXiv preprint arXiv:math/0507168},
year = {2007}
}
Comments
40 pages, no figures