Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data (Q2688997)

scientific article; zbMATH DE number 7659802

Language	Label	Description	Also known as
English	Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data	scientific article; zbMATH DE number 7659802

Statements

instance of

scholarly article

0 references

title

Almost sure local wellposedness and scattering for the energy-critical cubic nonlinear Schrödinger equation with supercritical data (English)

0 references

author

Martin Spitz

0 references

published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

0 references

publication date

6 March 2023

0 references

full work available at URL

https://arxiv.org/abs/2110.11051

0 references

zbMATH Keywords

nonlinear Schrödinger equation

0 references

random initial data

0 references

almost sure wellposedness

0 references

almost sure scattering

0 references

MaRDI profile type

Publication

0 references

cites work

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4

0 references

Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions

0 references

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

0 references

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

0 references

Periodic nonlinear Schrödinger equation and invariant measures

0 references

Invariant measures for the 2D-defocusing nonlinear Schrödinger equation

0 references

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

0 references

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

0 references

On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on $\mathbb {R}^d$, $d \geq 3$

0 references

Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS

0 references

Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³

0 references

Almost sure local well-posedness for the supercritical quintic NLS

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Scattering for the cubic Schrödinger equation in 3D with randomized radial initial data

0 references

Almost sure scattering for the energy critical nonlinear wave equation

0 references

Two-dimensional nonlinear Schrödinger equation with random radial data

0 references

Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space

0 references

Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

0 references

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

0 references

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

0 references

Randomized final-data problem for systems of nonlinear Schrödinger equations and the Gross-Pitaevskii equation

0 references

Randomization improved Strichartz estimates and global well-posedness for supercritical data

0 references

Randomized final-state problem for the Zakharov system in dimension three

0 references

Injections de Sobolev probabilistes et applications

0 references

Probabilistic Sobolev embeddings, applications to eigenfunctions estimates

0 references

Q5640160

0 references

On the almost sure scattering for the energy-critical cubic wave equation with supercritical data

0 references

Endpoint Strichartz estimates

0 references

Sharp spherically averaged Strichartz estimates for the Schrödinger equation

0 references

Maximal functions associated to filtrations

0 references

Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation

0 references

Generalized Strichartz estimates and scattering for 3D Zakharov system

0 references

Identifiers

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.NA.2022.113204

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2688997