Differential and Integral Equations

Global well-posedness of the energy-critical defocusing NLS on rectangular tori in three dimensions

Nils Strunk

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Abstract

The energy-critical defocusing nonlinear Schrödinger equation on $3$-dimensional rectangular tori is considered. We prove that the global well-posedness result for the standard torus of Ionescu and Pausader extends to this class of manifolds, namely, for any initial data in $H^1$ the solution exists globally in time.

Article information

Source
Differential Integral Equations, Volume 28, Number 11/12 (2015), 1069-1084.

Dates
First available in Project Euclid: 18 August 2015

Permanent link to this document
https://projecteuclid.org/euclid.die/1439901042

Mathematical Reviews number (MathSciNet)
MR3385135

Zentralblatt MATH identifier
1363.35352

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 35B33: Critical exponents

Citation

Strunk, Nils. Global well-posedness of the energy-critical defocusing NLS on rectangular tori in three dimensions. Differential Integral Equations 28 (2015), no. 11/12, 1069--1084. https://projecteuclid.org/euclid.die/1439901042


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