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.
Citation
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. https://doi.org/10.57262/die/1439901042
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