Dispersion and Strichartz inequalities for the 1D Schrodinger equation with variables coefficients.

被引：0

作者：

Salort, D ^{[1
]}

机构：

[1] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75013 Paris, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2005年 / 340卷 / 06期

关键词：

D O I：

10.1016/j.crma.2005.02.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dispersion and Strichartz inequalities for the ID Schrodinger equation with variables coefficients. We study the dispersive properties of the solution to the ID Schrodinger equation without an explicit formula of the solution, and we prove local Strichartz estimates for metrics g epsilon C-b(2). In the constant coefficient Schrodinger equation case, this method provides the classical dispersion in all dimension. To cite this article: D. Salort, C R. Acad. Sci. Paris, Ser. 1340 (2005). (c) 2005 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.

引用

页码：427 / 430

页数：4

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