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November/December 2015 Global well-posedness of the energy-critical defocusing NLS on rectangular tori in three dimensions
Nils Strunk
Differential Integral Equations 28(11/12): 1069-1084 (November/December 2015).

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.

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Nils Strunk. "Global well-posedness of the energy-critical defocusing NLS on rectangular tori in three dimensions." Differential Integral Equations 28 (11/12) 1069 - 1084, November/December 2015.

Information

Published: November/December 2015
First available in Project Euclid: 18 August 2015

zbMATH: 1363.35352
MathSciNet: MR3385135

Subjects:
Primary: 35B33, 35Q55

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 11/12 • November/December 2015
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