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

2014/11/28 by Nils Strunk, Strunk, Nils
Mathematics · Physics and Astronomy · #14J60 (Primary) #35B33 (Secondary) #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1411.7886

openalex publication_date 2014/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The energy-critical defocusing nonlinear Schr "odinger equation on\n3-dimensional rectangular tori is considered. We prove that the global\nwell-posedness result for the standard torus of Ionescu and Pausader extends to\nthis class of manifolds, namely, for any initial data in H¹ the solution\nexists globally in time.\n

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