Global Strichartz estimates for approximations of the Schrodinger equation

被引：0
|
作者：
Ignat, Liviu I.
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain
[2] Acad Romana, Inst Math Simion Stoilow, RO-014700 Bucharest, Romania
来源：
ASYMPTOTIC ANALYSIS | 2007年 / 52卷 / 1-2期
关键词：
finite differences; Schrodinger equations; Strichartz estimates;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a semidiscrete scheme for the linear Schrodinger equation with high order dissipative term. We obtain maximum norm estimates for its solutions and we prove global Strichartz estimates for the considered model, estimates that are uniform with respect to the mesh size. The methods we employ are based on classical arguments of harmonic analysis.
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页码：37 / 51
页数：15
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