Low regularity for a quadratic Schr\"odinger equation on the circle
Analysis of PDEs
2008-10-28 v1
Abstract
In this paper we consider a Schrodinger equation on the circle with a quadratic nonlinearity. Thanks to an explicit computation of the first Picard iterate, we give a precision on the dynamic of the solution, whose existence was proved by C. E. Kenig, G. Ponce and L. Vega. We also show that the equation is well-posed in a space based on Lp norms in frequencies.
Cite
@article{arxiv.0810.4691,
title = {Low regularity for a quadratic Schr\"odinger equation on the circle},
author = {Laurent Thomann},
journal= {arXiv preprint arXiv:0810.4691},
year = {2008}
}
Comments
23 pages, 0 figure