The initial-boundary value problem for some quadratic nonlinear Schr\"odinger equations on the half-line
Analysis of PDEs
2016-12-20 v2
Abstract
We prove local well-posedness for the initial-boundary-value problem associated to some quadratic nonlinear Schr\"odinger equations on the half-line. The results are obtained in the low regularity setting by introducing an analytic family of boundary forcing operators, following the ideas developed by Colliander, Kenig and Holmer.
Cite
@article{arxiv.1601.02565,
title = {The initial-boundary value problem for some quadratic nonlinear Schr\"odinger equations on the half-line},
author = {Márcio Cavalcante},
journal= {arXiv preprint arXiv:1601.02565},
year = {2016}
}
Comments
28 pages, revised version, referee suggestions, will appear in Differential and Integral Equations