Scattering theory below energy space for two-dimensional nonlinear Schrödinger equation (Q3465801)

scientific article

Language	Label	Description	Also known as
English	Scattering theory below energy space for two-dimensional nonlinear Schrödinger equation	scientific article

Statements

instance of

scholarly article

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title

Scattering theory below energy space for two-dimensional nonlinear Schrödinger equation (English)

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published in

Communications in Contemporary Mathematics

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publication date

22 January 2016

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full work available at URL

https://arxiv.org/abs/1410.2384

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zbMATH Keywords

nonlinear Schrödinger equation

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global well-posedness

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scattering

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low regularity

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MaRDI publication profile

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cites work

Scattering in the energy space and below for 3D NLS

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Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case

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The cauchy problem for the critical nonlinear Schrödinger equation in Hs

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Tensor products and correlation estimates with applications to nonlinear Schrödinger equations

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

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

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Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ<sup>3</sup>

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

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

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Improved almost Morawetz estimates for the cubic nonlinear Schrödinger equation

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

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

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Smoothing properties and retarded estimates for some dispersive evolution equations

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Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations

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Endpoint Strichartz estimates

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Q4237134

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Energy and local energy bounds for the 1-d cubic NLS equation in $H^{-\frac{1}{4}}$

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Decay and scattering of solutions of a nonlinear Schrödinger equation

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Time decay for the nonlinear Klein-Gordon equation

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Decay and scattering of solutions of a nonlinear relativistic wave equation

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Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2

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Bilinear virial identities and applications

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Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations

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

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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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Identifiers

zbMATH Open document ID

1329.35286

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DOI

10.1142/S0219199714500527

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3465801