Global well-posedness for the cubic fractional NLS on the unit disk (Q5062140)

scientific article; zbMATH DE number 7489727

Language	Label	Description	Also known as
English	Global well-posedness for the cubic fractional NLS on the unit disk	scientific article; zbMATH DE number 7489727

Statements

instance of

scholarly article

0 references

title

Global well-posedness for the cubic fractional NLS on the unit disk (English)

0 references

0 references

0 references

0 references

15 March 2022

0 references

full work available at URL

https://arxiv.org/abs/2011.05517

0 references

zbMATH Keywords

I-method

0 references

global well-posedness

0 references

fractional NLS

0 references

compact manifold

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Cubic Nonlinear Schrödinger Equation on Three Dimensional Balls with Radial Data

0 references

$L^p$ properties for Gaussian random series

0 references

Strichartz estimates and the nonlinear Schrödinger equation on manifolds with boundary

0 references

Exponential sums and nonlinear Schrödinger equations

0 references

Q4393968

0 references

Scattering in the energy space and below for 3D NLS

0 references

Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces

0 references

Q4434430

0 references

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

0 references

A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative

0 references

Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

0 references

Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3

0 references

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\mathbb R^2$

0 references

A remark on normal forms and the ``upside-down'' $I$-method for periodic NLS: growth of higher Sobolev norms

0 references

Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $\mathbb R^2$

0 references

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

0 references

Global well-posedness for the $L^2$ critical nonlinear Schrödinger equation in higher dimensions

0 references

Global Well-Posedness and Polynomial Bounds for the DefocusingL2-Critical Nonlinear Schrödinger Equation in ℝ

0 references

Existence and Uniqueness theory for the fractional Schr\"odinger equation on the torus

0 references

Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation

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 nonlinear Schrödinger equations with algebraic nonlinearity when $d = 2,3$ and $u_0$ is radial

0 references

Global Well-posedness for the Defocusing, Quintic Nonlinear Schrödinger Equation in One Dimension for Low Regularity Data

0 references

Q3236913

0 references

ON THE GLOBAL EXISTENCE OF ROUGH SOLUTIONS OF THE CUBIC DEFOCUSING SCHRÖDINGER EQUATION IN R2 + 1

0 references

On global solutions to a defocusing semi-linear wave equation.

0 references

Space-Time Fractional Nonlinear Schrödinger Equation

0 references

Global existence for 2D nonlinear Schrödinger equations via high --- low frequency decomposition method

0 references

Global Well-Posedness of the Cubic Nonlinear Schrödinger Equation on Closed Manifolds

0 references

Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit

0 references

The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

0 references

Global well-posedness for semi-linear wave equations

0 references

On the continuum limit for discrete NLS with long-range lattice interactions

0 references

Global well-posedness for the mass-critical nonlinear Schrödinger equation on $\mathbb T$

0 references

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

0 references

Bounds on the growth of high Sobolev norms of solutions to nonlinear Schroedinger equations on $\mathbb{R}$

0 references

On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations

0 references

On the high–low method for NLS on the hyperbolic space

0 references

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

0 references

Gibbs Measure Dynamics for the Fractional NLS

0 references

The Cauchy problem for the semilinear quintic Schrödinger equation in one dimension.

0 references

Invariant measures for the nonlinear Schrödinger equation on the disc

0 references

The Cauchy problem of the Schrödinger-Korteweg-de Vries system.

0 references

Global existence of solutions to Schrödinger equations on compact riemannian manifolds below $H^1$

0 references

Identifiers

zbMATH Open document ID

1490.35454

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1088/1361-6544/AC5154

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5062140