Strichartz estimates for Schrodinger equations on irrational tori

Zihua Guo; Tadahiro Oh; Yuzhao Wang

doi:10.1112/plms/pdu025

Strichartz estimates for Schrodinger equations on irrational tori

Zihua Guo, Tadahiro Oh, Yuzhao Wang

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

28 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	975-1013
Number of pages	39
Journal	Proceedings of the London Mathematical Society
Volume	109
Issue number	4
DOIs	https://doi.org/10.1112/plms/pdu025
Publication status	Published - 2014
Externally published	Yes

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title = "Strichartz estimates for Schrodinger equations on irrational tori",

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

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

year = "2014",

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language = "English",

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T1 - Strichartz estimates for Schrodinger equations on irrational tori

AU - Guo, Zihua

AU - Oh, Tadahiro

AU - Wang, Yuzhao

PY - 2014

Y1 - 2014

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

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

UR - http://plms.oxfordjournals.org/content/109/4/975.full.pdf+html

U2 - 10.1112/plms/pdu025

DO - 10.1112/plms/pdu025

M3 - Article

SN - 0024-6115

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 Schrodinger equations on irrational tori

Abstract

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