The energy-critical defocusing NLS on T^3

Abstract

We prove global well-posedness in H^1(T^3) for the energy-critical defocusing NLS.

24 pages

References in corpus (3)

• Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
• Global well-posedness of the energy critical Nonlinear Schrödinger equation with small initial data in H^1(T^3)
• High-frequency propagation for the Schroedinger equation on the torus

Cited by in corpus (12)

• On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
• The Derivation of the ${\mathbb{T}}^3$ Energy-critical NLS from Quantum Many-body Dynamics
• Global Well-posedness for the focusing cubic NLS on the product space $\mathbb{R}\times {\mathbb{T}}^3$
• The unconditional uniqueness for the energy-supercritical NLS
• On shorttime bilinear Strichartz estimates and applications to improve the energy method
• The Unconditional Uniqueness for the Energy-critical Nonlinear Schrödinger Equation on ${\mathbb{T}}^4$
• On the high-low method for NLS on the hyperbolic space
• Global Well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds
• On the global well-posedness for the periodic quintic nonlinear Schrödinger equation
• Global well-posedness of the cubic nonlinear Schrödinger equation on ${\mathbb{T}}^2$
• Hyperbolic nonlinear Schrödinger equations on $\mathbb{R}\times \mathbb{T}$
• Bilinear estimate for Schrödinger equation on $\mathbb{R}\times \mathbb{T}$