Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space (Q5003323)

scientific article; zbMATH DE number 7373315

Language	Label	Description	Also known as
English	Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space	scientific article; zbMATH DE number 7373315

Statements

instance of

scholarly article

0 references

title

Long Time Dynamics for Defocusing Cubic Nonlinear Schrödinger Equations on Three Dimensional Product Space (English)

0 references

0 references

0 references

SIAM Journal on Mathematical Analysis

0 references

publication date

21 July 2021

0 references

full work available at URL

https://arxiv.org/abs/2003.00665

0 references

zbMATH Keywords

nonlinear Schrödinger equation

0 references

waveguide manifold

0 references

global well-posedness

0 references

low regularity

0 references

decoupling method

0 references

bilinear estimate

0 references

I-method

0 references

weak turbulence

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

On global-in-time Strichartz estimates for the semiperiodic Schrödinger equation

0 references

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

0 references

Q4880973

0 references

Q4393968

0 references

A remark on normal forms and the ``I-method'' for periodic NLS

0 references

The proof of the $l^2$ decoupling conjecture

0 references

A study guide for the $l^{2}$ decoupling theorem

0 references

Q4434430

0 references

The cauchy problem for the critical nonlinear Schrödinger equation in Hs

0 references

On scattering for the cubic defocusing nonlinear Schrödinger equation on the waveguide $\mathbb{R}^2 \times \mathbb{T}$

0 references

On Scattering for the Defocusing Quintic Nonlinear Schrödinger Equation on the Two-Dimensional Cylinder

0 references

Well-posedness for energy-critical nonlinear Schrödinger equation on waveguide manifold

0 references

Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.

0 references

Global well-posedness and scattering for the energy-critical Schrödinger equation in $\mathbb R^{3}$

0 references

Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

0 references

Strichartz estimates for the Schrödinger equation on irrational tori

0 references

Growth of Solutions to NLS on Irrational Tori

0 references

Global well-posedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linear-nonlinear decomposition

0 references

Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$

0 references

On a bilinear Strichartz estimate on irrational tori

0 references

Strichartz estimates for Schrödinger equations on irrational tori

0 references

On Scattering for the Quintic Defocusing Nonlinear Schrödinger Equation on R × T<sup>2</sup>

0 references

Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb T^3)$

0 references

Strichartz estimates for partially periodic solutions to Schrödinger equations in $4d$ and applications

0 references

On the global well-posedness of energy-critical Schrödinger equations in curved spaces

0 references

The energy-critical defocusing NLS on ${\mathbb{T}}^{3}$

0 references

Global well-posedness of the energy-critical defocusing NLS on ${\mathbb{R} \times \mathbb{T}^3}$

0 references

Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

0 references

Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D

0 references

Scale-invariant Strichartz estimates on tori and applications

0 references

Global well-posedness and scattering for the defocusing, cubic NLS in $\mathbb{R}^3$

0 references

Q5475508

0 references

Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb R^3$

0 references

On the interpolation with the potential bound for global solutions of the defocusing cubic wave equation on $\mathbb{T}^2$

0 references

Global Well-posedness for the Focusing Cubic NLS on the Product Space $\mathbb{R} \times \mathbb{T}^3$

0 references

On scattering for the defocusing nonlinear Schrödinger equation on waveguide $\mathbb{R}^m \times \mathbb{T}$ (when $m = 2, 3)$

0 references

Identifiers

zbMATH Open document ID

1473.35520

0 references

DOI

10.1137/20M1322911

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5003323