HEAT-FLOW MONOTONICITY OF STRICHARTZ NORMS

被引：37

作者：

Bennett, Jonathan ^{[1
]}

Bez, Neal ^{[2
]}

Carbery, Anthony ^{[3
,4
]}

Hundertmark, Dirk ^{[5
,6
]}

机构：

[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[3] Univ Edinburgh, Sch Math, Edinburgh EH3 9JZ, Midlothian, Scotland

[4] Univ Edinburgh, Maxwell Inst Math Sci, Edinburgh EH3 9JZ, Midlothian, Scotland

[5] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[6] Univ Illinois, Inst Condensed Matter Theory, Urbana, IL 61801 USA

来源：

ANALYSIS & PDE | 2009年 / 2卷 / 02期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

heat flow; Strichartz estimates; Schrodinger equation; BRASCAMP-LIEB INEQUALITIES; RESTRICTION;

D O I：

10.2140/apde.2009.2.147

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our main result is that for d = 1, 2 the classical Strichartz norm parallel to e(is Delta) f parallel to(2+4/d)(Ls,x)(RxR(d)) associated to the free Schrodinger equation in nondecreasing as the initial datum f evolves under a certain quadratic heat flow.

引用

页码：147 / 158

页数：12

共 14 条

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[3]

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[8]

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[9]

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