Strong ill-posedness for fractional Hartree and cubic NLS equations (Q6056514)

scientific article; zbMATH DE number 7744992

Language	Label	Description	Also known as
English	Strong ill-posedness for fractional Hartree and cubic NLS equations	scientific article; zbMATH DE number 7744992

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instance of

scholarly article

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title

Strong ill-posedness for fractional Hartree and cubic NLS equations (English)

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Journal of Functional Analysis

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publication date

2 October 2023

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full work available at URL

https://arxiv.org/abs/2101.03991

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zbMATH Keywords

fractional Hartree and NLS equations

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norm inflation (strong ill-posedness)

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Fourier-Lebesgue spaces

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modulation spaces

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Fourier amalgam spaces

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MaRDI profile type

MaRDI publication profile

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cites work

Loss of regularity for supercritical nonlinear Schrödinger equations

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Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations

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Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation

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Local well-posedness of nonlinear dispersive equations on modulation spaces

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Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra

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Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity

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The Hartree–Fock equations in modulation spaces

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Geometric optics and instability for NLS and Davey-Stewartson models

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Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces

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On the Cauchy problem for the Hartree type equation in the Wiener algebra

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On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity

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Ill-Posedness of the Cubic Nonlinear Half-Wave Equation and Other Fractional NLS on the Real Line

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

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The Defocusing Energy-critical wave Equation with a Cubic Convolution

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Identifiers

zbMATH Open document ID

1527.35365

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arXiv ID

2101.03991

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Mathematics Subject Classification ID

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10.1016/J.JFA.2023.110157

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Sitelinks

Mathematics(1 entry)

mardi Publication:6056514