Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on \(\mathbb{T}^4\)

DOI10.1016/j.jde.2021.01.031zbMath1459.35346arXiv1805.09816OpenAlexW3127267605MaRDI QIDQ2656302

Haitian Yue

Publication date: 11 March 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09816

zbMATH Keywords

ground stateglobal well-posednessfocusingperiodic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) PDEs on manifolds (35R01)

Related Items (6)

Robust optimality in constrained optimization problems with application in mechanics ⋮ Large deviations principle for the cubic NLS equation ⋮ On long time behavior of the focusing energy-critical NLS on \(\mathbb{R}^d\times\mathbb{T}\) via semivirial-vanishing geometry ⋮ On the Global Well-Posedness for the Periodic Quintic Nonlinear Schrödinger Equation ⋮ On well-posed isoperimetric-type constrained variational control problems ⋮ Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$

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