A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems
Classical Analysis and ODEs
2007-05-23 v1 Functional Analysis
Abstract
The authors use steepest descent ideas to obtain a priori estimates for solutions of Riemann-Hilbert Problems. Such estimates play a crucial role, in particular, in analyzing the long-time behavior of solutions of the perturbed nonlinear Schr\"odinger equation on the line.
Keywords
Cite
@article{arxiv.math/0206224,
title = {A priori $L^p$ estimates for solutions of Riemann-Hilbert Problems},
author = {P. Deift and X. Zhou},
journal= {arXiv preprint arXiv:math/0206224},
year = {2007}
}