A remark on norm inflation for nonlinear Schrödinger equations (Q1733909)

scientific article

Language	Label	Description	Also known as
English	A remark on norm inflation for nonlinear Schrödinger equations	scientific article

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instance of

scholarly article

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title

A remark on norm inflation for nonlinear Schrödinger equations (English)

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author

Nobu Kishimoto

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published in

Communications on Pure and Applied Analysis

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publication date

21 March 2019

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full work available at URL

https://arxiv.org/abs/1806.10066

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zbMATH Keywords

nonlinear Schrödinger equations

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ill-posedness

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norm inflation

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power series expansion

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

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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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An instability property of the nonlinear Schrödinger equation on $S^d$

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Geometric optics and instability for semi-classical Schrödinger equations

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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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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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A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

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On the 1D cubic nonlinear Schrödinger equation in an almost critical space

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Non-Existence of Solutions for the Periodic Cubic NLS below ${L}^{{2}}$

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SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS

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Well-posedness and ill-posedness of the Cauchy problem for the generalized Thirring model.

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Ill-posedness for the nonlinear Schrödinger equation with quadratic non-linearity in low dimensions

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Ill-posedness for the quadratic nonlinear Schrödinger equation with nonlinearity $|u|^2$

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Quadratic forms for the 1-D semilinear Schrödinger equation

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On the ill-posedness of some canonical dispersive equations.

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Low regularity conservation laws for integrable PDE

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Low-regularity bilinear estimates for a quadratic nonlinear Schrödinger equation

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Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good'' Boussinesq equation.

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A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces

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Energy and local energy bounds for the 1-d cubic NLS equation in $H^{-\frac{1}{4}}$

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Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension

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Sharp Well-Posedness and Ill-Posedness for the Chern–Simons–Dirac System in One Dimension

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On ill-posedness for the one-dimensional periodic cubic Schrödinger equation

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A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schr&ouml;dinger Equations in Negative Sobolev Spaces

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On the one-dimensional cubic nonlinear Schrödinger equation below $L^{2}$

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Global well-posedness of the one-dimensional cubic nonlinear Schrödinger equation in almost critical spaces

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Norm inflation for the generalized Boussinesq and Kawahara equations

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Modulation Spaces and Nonlinear Evolution Equations

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Q3779084

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Identifiers

zbMATH Open document ID

1409.35191

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DOI

10.3934/cpaa.2019067

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1733909