Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions
Analysis of PDEs
2014-12-17 v2
Abstract
The energy-critical defocusing nonlinear Schr\"odinger 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 the solution exists globally in time.
Keywords
Cite
@article{arxiv.1411.7886,
title = {Global Well-posedness of the Energy-Critical Defocusing NLS on Rectangular Tori in three Dimensions},
author = {Nils Strunk},
journal= {arXiv preprint arXiv:1411.7886},
year = {2014}
}
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15 pages