The Degasperis-Procesi equation on the half-line
Exactly Solvable and Integrable Systems
2012-08-20 v2 Analysis of PDEs
Abstract
We analyze a class of initial-boundary value problems for the Degasperis-Procesi equation on the half-line. Assuming that the solution exists, we show that it can be recovered from its initial and boundary values via the solution of a Riemann-Hilbert problem formulated in the plane of the complex spectral parameter .
Cite
@article{arxiv.1204.5252,
title = {The Degasperis-Procesi equation on the half-line},
author = {Jonatan Lenells},
journal= {arXiv preprint arXiv:1204.5252},
year = {2012}
}
Comments
22 pages, 4 figures, some misprints corrected