Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $\mathbb{T}^d$, $d\geq 3$ (Q2045411)

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English	Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $\mathbb{T}^d$, $d\geq 3$	scientific article

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title

Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on $\mathbb{T}^d$, $d\geq 3$ (English)

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author

Haitian Yue

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published in

Stochastic and Partial Differential Equations. Analysis and Computations

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publication date

12 August 2021

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full work available at URL

https://arxiv.org/abs/1808.00657

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zbMATH Keywords

periodic nonlinear Schrödinger equation

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random data

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almost sure well-posedness

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MaRDI profile type

MaRDI publication profile

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cites work

On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3

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

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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Periodic nonlinear Schrödinger equation and invariant measures

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Invariant measures for the 2D-defocusing nonlinear Schrödinger equation

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Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: the 2D case

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Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball. II: the 3D case

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Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3d ball

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The proof of the $l^2$ decoupling conjecture

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Almost-sure scattering for the radial energy-critical nonlinear wave equation in three dimensions

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Random data Cauchy theory for supercritical wave equations I: Local theory

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Random data Cauchy theory for supercritical wave equations. II. A global existence result

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Probabilistic well-posedness for the cubic wave equation

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Q3477374

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $L^{2}(\mathbb{T})$

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Random-data Cauchy problem for the Navier-Stokes equations on $\mathbb T^3$

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Two-dimensional nonlinear Schrödinger equation with random radial data

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Almost sure scattering for the 4D energy-critical defocusing nonlinear wave equation with radial data

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Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation

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Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$

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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]

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

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

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Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity

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

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

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Almost sure scattering for the energy-critical NLS with radial data below H1(R4)

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Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ<sup>3</sup>

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On the almost sure global well-posedness of energy sub-critical nonlinear wave equations on $\mathbb R^{3}$

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Random data final-state problem for the mass-subcritical NLS in $L^2$

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Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS

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Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

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On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities

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Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb R^3$

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Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on $\mathbb R^d$, $d=4$ and $5$

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Probabilistic well-posedness for supercritical wave equations with periodic boundary condition on dimension three

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Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations

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Q5475508

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Almost sure existence of global weak solutions to the 3D incompressible Navier-Stokes equation

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Random data Cauchy theory for the generalized incompressible Navier-Stokes equations

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Identifiers

zbMATH Open document ID

1475.35324

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DOI

10.1007/s40072-020-00183-6

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2045411

Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on \(\mathbb{T}^d\), \(d\geq 3\) (Q2045411)

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Mathematics(1 entry)