Improved global well-posedness for mass-critical nonlinear Schrödinger equations on tori

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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Global well-posedness for the mass-critical nonlinear Schrödinger equation on \(\mathbb T\)
Errata to ``The Cauchy problem for the semi-linear quintic Schrödinger equation in 1D.
Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)
Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
On a bilinear Strichartz estimate on irrational tori
Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
Multilinear estimates for periodic KdV equations, and applications
A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds
The proof of the \(l^2\) decoupling conjecture
Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D
A remark on normal forms and the ``I-method for periodic NLS
Fourier Analysis and Nonlinear Partial Differential Equations
Remark on the periodic mass critical nonlinear Schrödinger equation
Dispersive estimates for principally normal pseudodifferential operators
Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces
Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations
On 2D nonlinear Schrödinger equations with data on \(\mathbb{R} \times \mathbb{T}\)
On bilinear Strichartz estimates on waveguides with applications

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