On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition
Analysis of PDEs
2013-12-12 v1
Abstract
It is shown that the Cauchy problem for the DNLS equation in the spatially periodic setting is locally well-posed in Sobolev spaces H^s(T) for s \geq 1/2. Moreover, global well-posedness is shown for s \geq 1 and data with small L^2 norm.
Keywords
Cite
@article{arxiv.math/0512461,
title = {On the Cauchy problem for the derivative nonlinear Schroedinger equation with periodic boundary condition},
author = {S. Herr},
journal= {arXiv preprint arXiv:math/0512461},
year = {2013}
}
Comments
22 pages