The generalized Korteweg-de Vries equation on the half line
Analysis of PDEs
2007-05-23 v3
Abstract
The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverting a Riemann-Liouville fractional integral.
Cite
@article{arxiv.math/0111294,
title = {The generalized Korteweg-de Vries equation on the half line},
author = {J. E. Colliander and C. E. Kenig},
journal= {arXiv preprint arXiv:math/0111294},
year = {2007}
}
Comments
added references, fixed typos