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Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation - MaRDI portal

Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation (Q288737)

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English	Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation	scientific article

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scholarly article

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Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation (English)

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Journal of Differential Equations

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publication date

27 May 2016

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full work available at URL

https://arxiv.org/abs/1512.06175

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zbMATH Keywords

long time well-posedness

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nonlinear Schrödinger equations

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MaRDI profile type

MaRDI publication profile

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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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Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm

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

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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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KP description of unidirectional long waves. The model case

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Global solutions for the gravity water waves equation in dimension 3

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On the initial value problem for the Davey-Stewartson systems

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Nonexistence of travelling wave solutions to nonelliptic nonlinear Schrödinger equations

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On nonlinear schrödinger equations

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

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Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D

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The cubic nonlinear Schrödinger equation in two dimensions with radial data

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The validity of modulation equations for extended systems with cubic nonlinearities

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Validity and Limitation of the Newell‐Whitehead Equation

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Justification and failure of the nonlinear Schrödinger equation in case of non-trivial quadratic resonances

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Justification of the nonlinear Schroedinger equation for a resonant Boussinesq model

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Justification of the NLS approximation for a quasilinear water wave model

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Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data

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A justification of the modulation approximation to the 3D full water wave problem

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A rigorous justification of the modulation approximation to the 2D full water wave problem

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

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Global wellposedness of the 3-D full water wave problem

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2016.04.030

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:288737

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