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On the management fourth-order Schrödinger-Hartree equation - MaRDI portal

On the management fourth-order Schrödinger-Hartree equation (Q827658)

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Language	Label	Description	Also known as
English	On the management fourth-order Schrödinger-Hartree equation	scientific article

Statements

scholarly article

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On the management fourth-order Schrödinger-Hartree equation (English)

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Evolution Equations and Control Theory

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publication date

13 January 2021

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full work available at URL

https://arxiv.org/abs/1905.08159

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zbMATH Keywords

dispersion management

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fourth-order nonlinear Schrödinger-Hartree equation

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Carlos Banquet Brango

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Elder Jesús Villamizar-Roa

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MaRDI profile type

MaRDI publication profile

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Well-posedness and averaging of NLS with time-periodic dispersion management

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On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging

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Sharp well-posedness results for the BBM equation

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A Schrödinger equation with time-oscillating nonlinearity

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On well-posedness of the third-order nonlinear Schrödinger equation with time-dependent coefficients

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Pointwise estimates for oscillatory integrals and related \(L^{p}\)-\(L^{q}\) estimates. II: Multidimensional case

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Mean field dynamics of boson stars

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Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces

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Averaging of the nonlinear Schrödinger equation with highly oscillatory magnetic potentials

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The nonlinear Schrödinger equation. Singular solutions and optical collapse

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Self-Focusing with Fourth-Order Dispersion

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Blow-up for the focusing \(\dot H^{1/2}\)-critical Hartree equation with radial data

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Global existence of solutions for a fourth-order nonlinear Schrödinger equation

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On the Cauchy problem of fourth-order nonlinear Schrödinger equations

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Global existence of solutions for a fourth-order nonlinear Schrödinger equation in \(n+1\) dimensions

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Well-posedness of the Cauchy problem of high dimension non-isotropic fourth-order Schrödinger equations in Sobolev spaces

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

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On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness

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Perturbation theory for linear operators.

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The Chandrasekhar theory of stellar collapse as the limit quantum mechanics

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The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field

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A restriction theorem for the Fourier transform

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On the Schr\"odinger equations with isotropic and anisotropic fourth-order dispersion

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Well-posedness and ill-posedness for the cubic fractional Schrödinger equations

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Stabilizing effects of dispersion management

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Identifiers

zbMATH Open document ID

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10.3934/eect.2020037

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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:827658

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