Growth of Solutions to NLS on Irrational Tori

Research output: Contribution to journalArticle

Abstract

We prove polynomial bounds on the Hs growth for the nonlinear Schrödinger equation set on a torus, in dimension 3, with super-cubic and sub-quintic nonlinearity. Due to improved Strichartz estimates, these bounds are better for irrational tori than they are for rational tori.

Original languageEnglish (US)
Pages (from-to)2919-2950
Number of pages32
JournalInternational Mathematics Research Notices
Volume2019
Issue number9
DOIs
StatePublished - Jan 1 2019

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Torus
Strichartz Estimates
Quintic
Nonlinear Equations
Nonlinearity
Polynomial

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Growth of Solutions to NLS on Irrational Tori. / Deng, Yu; Germain, Pierre.

In: International Mathematics Research Notices, Vol. 2019, No. 9, 01.01.2019, p. 2919-2950.

Research output: Contribution to journalArticle

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