Strichartz estimates for Schrödinger equations on irrational tori

Zihua Guo; Tadahiro Oh; Yuzhao Wang

doi:10.1112/plms/pdu025

Strichartz estimates for Schrödinger equations on irrational tori

Zihua Guo, Tadahiro Oh, Yuzhao Wang

Mathematics

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

20 Citations (Scopus)

Abstract

In this paper, we prove new Strichartz estimates for linear Schrödinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrödinger equations on irrational tori.

Original language	English
Pages (from-to)	975–1013
Journal	Proceedings of the London Mathematical Society
Volume	109
Issue number	4
DOIs	https://doi.org/10.1112/plms/pdu025
Publication status	Published - 30 Jun 2014

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

abstract = "In this paper, we prove new Strichartz estimates for linear Schr{\"o}dinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schr{\"o}dinger equations on irrational tori.",

author = "Zihua Guo and Tadahiro Oh and Yuzhao Wang",

year = "2014",

month = jun,

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doi = "10.1112/plms/pdu025",

language = "English",

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journal = "Proceedings of the London Mathematical Society",

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T1 - Strichartz estimates for Schrödinger equations on irrational tori

AU - Guo, Zihua

AU - Oh, Tadahiro

AU - Wang, Yuzhao

PY - 2014/6/30

Y1 - 2014/6/30

N2 - In this paper, we prove new Strichartz estimates for linear Schrödinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrödinger equations on irrational tori.

AB - In this paper, we prove new Strichartz estimates for linear Schrödinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrödinger equations on irrational tori.

U2 - 10.1112/plms/pdu025

DO - 10.1112/plms/pdu025

M3 - Article

SN - 1460-244X

VL - 109

SP - 975

EP - 1013

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 4

ER -

Strichartz estimates for Schrödinger equations on irrational tori

Abstract

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