On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry
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Publication:6176363
DOI10.1016/j.matpur.2023.07.006zbMath1522.35472arXiv2206.07346OpenAlexW4385454275MaRDI QIDQ6176363
Publication date: 22 August 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.07346
Variational inequalities (49J40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Antennas, waveguides in optics and electromagnetic theory (78A50) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcations in context of PDEs (35B32) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)
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