Strichartz Estimates for Schr(?)dinger Equations with Non-degenerate Coefficients

被引：0
作者：
Yu MIAO School of Mathematical Sciences
机构：
来源：
Chinese Annals of Mathematics | 2007年 / 05期
关键词：
Schr(?)dinger equation; Strichartz estimates; Parametrix;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
In the present paper,the full range Strichartz estimates for homogeneous Schr(?)dinger equations with non-degenerate and non-smooth coefficients are proved.For inhomogeneous equation,the non-endpoint Strichartz estimates are also obtained.
引用
收藏
页码：555 / 570
页数：16
相关论文
共 31 条
  • [1] Variable coefficient Schr(?)dinger flows for ultrahyperbolic operators. Kenig,C.E,Ponce,G,Rolvung,C,and Vega,L. Advances in Mathematics . 2005
  • [2] Multi vortex solutions of a two dimensional nonlinear wave equation. Ishimori,Y. Progr Theor.Phys . 1984
  • [3] The analysis of linear partial differential operators. H(?)rmander,L. Grundlehren der Mathema- tischen Wissenschaften . 1985
  • [4] Existence of solutions for Schr?dinger evolution equations[J] . Kenji Yajima. &nbspCommunications in Mathematical Physics . 1987 (3)
  • [5] Dispersive estimates for principally normal pseudodifferential operators. Koch,H.,and Tataru,D. Communications on Pure and Applied Mathematics . 2005
  • [6] Strichartz estimates for Schr(?)dinger equations with variable coefficients. Robbiano,L.,and Zuily,C. . 2005
  • [7] Dispersion and Strichartz inequalities for the one-dimensional Schr(?)dinger equation with vari- able coefficients. Salort,D. Int Math.Res.Not . 2005
  • [8] Harmonic Analysis:Real-Variable Methods,Orthogonality,and Oscillatory Integrals. Stein,E.M. Mono- graphs in Harmonic Analysis . 1993
  • [9] Harmonic Analysis and Its Applications in Partial Differential Equations. Miao,C.X. . 2000
  • [10] Lectures on Schr(?)dinger equation. Planchon,F. COE Lecture Notes . 2003
1234