THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS (Q3067124)

scientific article

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English	THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS	scientific article

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instance of

scholarly article

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title

THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS (English)

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Journal of Hyperbolic Differential Equations

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publication date

20 January 2011

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full work available at URL

https://arxiv.org/abs/0906.1547

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zbMATH Keywords

fourth-order dispersive equations

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fourth-order Schrödinger equation

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global well-posedness

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scattering

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MaRDI profile type

MaRDI publication profile

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cites work

High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations

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Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation

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

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

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Scattering for the nonradial 3D cubic nonlinear Schrödinger equation

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Dynamic of threshold solutions for energy-critical NLS

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Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity

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Description of the lack of compactness for the Sobolev imbedding

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The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament

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A Refined Well-Posedness for the Fourth-Order Nonlinear Schrödinger Equation Related to the Vortex Filament

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The linear profile decomposition for the fourth order Schrödinger equation

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Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion

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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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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions

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Q3974678

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

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Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

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Blow up of the critical norm for some radial <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> super critical nonlinear Schrödinger equations

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Trilinear resonant interactions of semilinear hyperbolic waves

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Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case

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Scattering and the Levandosky-Strauss conjecture for fourth-order nonlinear wave equations

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Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case

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The cubic fourth-order Schrödinger equation

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The focusing energy-critical fourth-order Schrödinger equation with radial data

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

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Remark on well-posedness for the fourth order nonlinear Schrödinger type equation

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A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations

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A global compact attractor for high-dimensional defocusing nonlinear Schrödinger equations with potential

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Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Identifiers

zbMATH Open document ID

1232.35156

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DOI

10.1142/S0219891610002256

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3067124