Mass-critical inverse Strichartz theorems for 1d Schrodinger operators

被引：2

作者：

Jao, Casey ^{[1
]}

Killip, Rowan ^{[2
]}

Visan, Monica ^{[2
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] UCLA, Dept Math, Los Angeles, CA 90095 USA

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2019年 / 35卷 / 03期

关键词：

Strichartz refinements; wavepackets; GLOBAL WELL-POSEDNESS; RADIAL DATA; EQUATION; SCATTERING; DIMENSIONS;

D O I：

10.4171/RMI/1067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove inverse Strichartz theorems at L-2 regularity for a family of Schrodinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are limited to the translation-invariant equation i partial derivative(t)u = -1/2 Delta u. Motivated by applications to the mass-critical Schrodinger equation with external potentials (such as the harmonic oscillator), we use a physical space approach.

引用

页码：703 / 730

页数：28

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