Analytic Smoothing Effect for the Nonlinear Schrodinger Equations Without Square Integrability
Analytic Smoothing Effect for the Nonlinear Schrodinger Equations Without Square Integrability
复制标题
无平方可积的非线性薛定谔方程的解析平滑效应
DOI：
10.1007/s00041-017-9562-6
复制
发表时间：
2017
影响因子：
1.2
通讯作者：
Ryosuke Hyakuna
中科院分区：
文献类型：
--
作者：
Gaku Hoshino;Ryosuke Hyakuna
本文研究了一类非线性薛定谔方程的Cauchy问题，其中数据点为，特别讨论了在空间无穷远处满足指数衰减条件的数据点的解析光滑效应，构造了Galilei生成元和解析哈代空间的解，并利用相位调制算子，
In this study we consider the Cauchy problem for the nonlinear Schrödinger equations with data which belong toIn particular, we discuss analytic smoothing effect with data which satisfy exponentially decaying condition at spatial infinity inWe construct solutions in the function space of analytic vectors for the Galilei generator and the analytic Hardy space with the phase modulation operator based on.