Strichartz estimates for the Schrödinger equation on irrational tori

Yu Deng; Pierre Germain; Larry Guth

doi:10.1016/j.jfa.2017.05.011

Strichartz estimates for the Schrödinger equation on irrational tori

Yu Deng, Pierre Germain, Larry Guth

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove Strichartz estimates over large time scales for the Schrödinger equation set on irrational tori. They are optimal for Lebesgue exponents p>6.

Original language	English (US)
Pages (from-to)	2846-2869
Number of pages	24
Journal	Journal of Functional Analysis
Volume	273
Issue number	9
DOIs	https://doi.org/10.1016/j.jfa.2017.05.011
State	Published - Nov 1 2017

Keywords

Irrational tori
Linear Schrodinger equation
Strichartz estimates

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2017.05.011

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title = "Strichartz estimates for the Schr{\"o}dinger equation on irrational tori",

abstract = "We prove Strichartz estimates over large time scales for the Schr{\"o}dinger equation set on irrational tori. They are optimal for Lebesgue exponents p>6.",

keywords = "Irrational tori, Linear Schrodinger equation, Strichartz estimates",

author = "Yu Deng and Pierre Germain and Larry Guth",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = nov,

day = "1",

doi = "10.1016/j.jfa.2017.05.011",

language = "English (US)",

volume = "273",

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journal = "Journal of Functional Analysis",

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T1 - Strichartz estimates for the Schrödinger equation on irrational tori

AU - Deng, Yu

AU - Germain, Pierre

AU - Guth, Larry

PY - 2017/11/1

Y1 - 2017/11/1

N2 - We prove Strichartz estimates over large time scales for the Schrödinger equation set on irrational tori. They are optimal for Lebesgue exponents p>6.

AB - We prove Strichartz estimates over large time scales for the Schrödinger equation set on irrational tori. They are optimal for Lebesgue exponents p>6.

KW - Irrational tori

KW - Linear Schrodinger equation

KW - Strichartz estimates

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DO - 10.1016/j.jfa.2017.05.011

M3 - Article

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SP - 2846

EP - 2869

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 9

ER -

Strichartz estimates for the Schrödinger equation on irrational tori

Abstract

Keywords

ASJC Scopus subject areas

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