Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation (Q1736194)

scientific article; zbMATH DE number 7041859

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English	Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation	scientific article; zbMATH DE number 7041859

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instance of

scholarly article

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title

Finite dimensional global attractor for a dissipative anisotropic fourth order Schrödinger equation (English)

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author

Brahim Alouini

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published in

Journal of Differential Equations

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publication date

26 March 2019

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zbMATH Keywords

fractal dimension

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.jde.2018.10.044

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cites work

Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain

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Regularity of the attractor for a Bose-Einstein equation in a two dimensional unbounded domain

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Dispersion estimates for fourth order Schrödinger equations

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Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska

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Long-time behavior of second order evolution equations with nonlinear damping

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Note on a modification to the nonlinear Schrödinger equation for application to deep water waves

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Self-Focusing with Fourth-Order Dispersion

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Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion

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Regularity of the attractor for a weakly damped nonlinear Schrödinger equation in \(\mathbb{R}^2\)

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

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

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Cauchy problem for higher-order Schrödinger equations in anisotropic Sobolev space

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

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Long-time behaviour for weakly damped driven nonlinear Schrödinger equations in \(\mathbb{R}^ N, N\leq 3\)

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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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Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors

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Q3142876

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Infinite-dimensional dynamical systems in mechanics and physics.

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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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An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors

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Well-posedness of the fourth-order perturbed Schrödinger type equation in non-isotropic Sobolev spaces

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Identifiers

zbMATH Open document ID

1411.35042

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Mathematics Subject Classification ID

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10.1016/J.JDE.2018.10.044

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Sitelinks

Mathematics(1 entry)

mardi Publication:1736194