ON CHARACTERIZATION OF THE SHARP STRICHARTZ INEQUALITY FOR THE SCHRODINGER EQUATION

被引：4

作者：

Jiang, Jin-Cheng ^{[1
]}

Shao, Shuanglin ^{[2
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, 101,Sect 2,Kuang Fu Rd, Hsinchu 30013, Taiwan

[2] Univ Kansas, Dept Math, 615 Snow Hall,1460 Jayhawk Blvd, Lawrence, KS 66045 USA

来源：

ANALYSIS & PDE | 2016年 / 9卷 / 02期

关键词：

Schrodinger equation; Strichartz inequality and extremals; EXTREMIZERS; DISPERSION; DECAY;

D O I：

10.2140/apde.2016.9.353

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the extremal problem for the Strichartz inequality for the Schrodinger equation on R x R-2. We show that the solutions to the associated Euler-Lagrange equation are exponentially decaying in the Fourier space and thus can be extended to be complex analytic. Consequently, we provide a new proof of the characterization of the extremal functions: the only extremals are Gaussian functions, as investigated previously by Foschi, Hundertmark and Zharnitsky.

引用

页码：353 / 361

页数：9

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