Strichartz estimates for the Schrödinger equation on irrational tori

Yu Deng, Pierre Germain, Larry Guth

Research output: Contribution to journalArticle

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 languageEnglish (US)
JournalJournal of Functional Analysis
DOIs
StateAccepted/In press - 2017

Fingerprint

Strichartz Estimates
Henri Léon Lebésgue
Torus
Time Scales
Exponent

Keywords

  • Irrational tori
  • Linear Schrodinger equation
  • Strichartz estimates

ASJC Scopus subject areas

  • Analysis

Cite this

Strichartz estimates for the Schrödinger equation on irrational tori. / Deng, Yu; Germain, Pierre; Guth, Larry.

In: Journal of Functional Analysis, 2017.

Research output: Contribution to journalArticle

@article{cfff4cb7e80a4a7ab03ec6bf1d9886d4,
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",
year = "2017",
doi = "10.1016/j.jfa.2017.05.011",
language = "English (US)",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Strichartz estimates for the Schrödinger equation on irrational tori

AU - Deng, Yu

AU - Germain, Pierre

AU - Guth, Larry

PY - 2017

Y1 - 2017

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

UR - http://www.scopus.com/inward/record.url?scp=85021206766&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021206766&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2017.05.011

DO - 10.1016/j.jfa.2017.05.011

M3 - Article

AN - SCOPUS:85021206766

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

ER -