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L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM - MaRDI portal

L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM (Q3622802)

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Language	Label	Description	Also known as
English	L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM	scientific article

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scholarly article

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L<sup>2</sup>-CONCENTRATION PHENOMENON FOR ZAKHAROV SYSTEM BELOW ENERGY NORM (English)

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zbMATH Open document ID

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10.1142/S0219199709003272

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Communications in Contemporary Mathematics

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publication date

28 April 2009

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full work available at URL

https://arxiv.org/abs/math/0702181

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Zakharov system in space dimension two

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\(L^2\)-concentration

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blow up

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global existence

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MaRDI profile type

MaRDI publication profile

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Equations of Langmuir turbulence and nonlinear Schrödinger equation: Smoothness and approximation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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

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Multilinear estimates for periodic KdV equations, and applications

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Ground state mass concentration in the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\)

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Some remarks on Strichartz estimates for the homogeneous wave equation

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Cauchy problem for the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\)

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On the Cauchy problem for the Zakharov system

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Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I

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Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II

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FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION

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L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity

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``Mass concentration'' phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II

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The nonlinear Schrödinger limit and the initial layer of the Zakharov equations

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The nonlinear Schrödinger limit of the Zakharov equations governing Langmuir turbulence

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Existence of solitary waves in higher dimensions

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Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power

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On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations

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Mathematics(1 entry)

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