Almost sure scattering for the energy-critical NLS with radial data below H1(R4) (Q5742688)

scientific article; zbMATH DE number 7051870

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English	Almost sure scattering for the energy-critical NLS with radial data below H1(R4)	scientific article; zbMATH DE number 7051870

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instance of

scholarly article

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title

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

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Communications in Partial Differential Equations

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publication date

8 May 2019

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full work available at URL

https://arxiv.org/abs/1707.09051

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zbMATH Keywords

almost sure scattering

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energy-critical NLS

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supercritical data

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MaRDI profile type

MaRDI publication profile

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cites work

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

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

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing 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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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 global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb R^3$

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

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Almost sure local well-posedness for the supercritical quintic NLS

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

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Long time dynamics for the one dimensional non linear Schrödinger equation

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Two-dimensional nonlinear Schrödinger equation with random radial data

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

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Consequences of the choice of a particular basis of $L^2(S^3)$ for the cubic wave equation on the sphere and the Euclidean space

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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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Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator

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Random data Cauchy problem for supercritical Schrödinger equations

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

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On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations

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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

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Local Smoothing Properties of Dispersive Equations

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Regularity of solutions to the Schrödinger equation

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Schrodinger Equations: Pointwise Convergence to the Initial Data

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Identifiers

zbMATH Open document ID

1416.35241

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DOI

10.1080/03605302.2018.1541904

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5742688