SMOOTHING ESTIMATES OF THE RADIAL SCHRODINGER PROPAGATOR IN DIMENSIONS n≥ 2＊

• 作 者: 李栋 张晓轶
• 机 构: DepartmentofMathematics,DepartmentofMathematics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年6期
• 关键词: SCHRODINGER 平滑估计 尺寸 传播 径向 作者 空间定位 空间立方体 SchrSdinger equation smoothing estimate
• 基金项目: D. Li is supported in part by NSF Grant-0908032 and a start-up funding from University of Iowa. X. Zhang is supported by an Alfred P, Sloan fellowship and also a start-up funding from University of Io

The usual Kato smoothing estimate for the Schrdinger propagator in 1D takes the form |‖x|1/2eitxxu0‖Lx∞L2t■‖u0‖Lx2. In dimensions n ≥ 2 the smoothing es-timate involves certain localization to cubes in space. In this paper we focus on radial functions