Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions

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.

arXiv comment15 pages

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