Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime (Q2127595)

scientific article

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English	Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime	scientific article

Statements

instance of

scholarly article

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title

Sharp scattering for the cubic-quintic nonlinear Schrödinger equation in the focusing-focusing regime (English)

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author

Yongming Luo

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published in

Journal of Functional Analysis

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publication date

20 April 2022

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full work available at URL

https://arxiv.org/abs/2105.15091

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zbMATH Keywords

cubic-quintic Schrödinger equation

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scattering threshold

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combined nonlinearities

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MaRDI profile type

MaRDI publication profile

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cites work

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Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

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On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case

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Orbital stability vs. scattering in the cubic-quintic Schrödinger equation

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4

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Scattering for the nonradial 3D cubic nonlinear Schrödinger equation

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On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on <i>ℝ<sup>N</sup></i>

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Endpoint Strichartz estimates

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Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

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On the defect of compactness for the Strichartz estimates of the Schrödinger equations

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Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on ${\mathbb{R}^3}$

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Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$

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Q4212811

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The dynamics of the 3D radial NLS with the combined terms

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The dynamics of the NLS with the combined terms in five and higher dimensions

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On the 4D nonlinear Schrödinger equation with combined terms under the energy threshold

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Threshold scattering for the 2D radial cubic-quintic NLS

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Normalized ground states for the NLS equation with combined nonlinearities

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Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case

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The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Scattering for focusing combined power-type NLS

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Long time dynamics of the 3D radial NLS with the combined terms

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Identifiers

zbMATH Open document ID

1490.35431

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DOI

10.1016/j.jfa.2022.109489

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2127595