Global well-posedness for the nonlinear Schrodinger equation with derivative in energy space
主 题: Global well-posedness for the nonlinear Schrodinger equation with derivative in energy space
报告人: 吴奕飞 研究员 (北京师范大学)
时 间: 2013-03-22 10:00-11:30
地 点: 理科一号楼1569
In this short paper, we prove that there exists some small
$\\varepsilon_*>0$,
such that the derivative nonlinear Schr\\\"{o}dinger equation (DNLS) is
global well-posedness in the energy space, provided that the initial data
$u_0\\in H^1$ with $\\|u_0\\|_{L^2}