Unconditional uniqueness of higher order nonlinear Schrödinger equations (Q4959539)

scientific article; zbMATH DE number 7396193

Language	Label	Description	Also known as
English	Unconditional uniqueness of higher order nonlinear Schrödinger equations	scientific article; zbMATH DE number 7396193

Statements

instance of

scholarly article

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title

Unconditional uniqueness of higher order nonlinear Schrödinger equations (English)

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author

Friedrich Klaus

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Peer Christian Kunstmann

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Nikolaos Pattakos

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published in

Czechoslovak Mathematical Journal

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publication date

16 September 2021

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full work available at URL

https://arxiv.org/abs/1911.06078

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zbMATH Keywords

normal form method

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modulation space

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unconditional uniqueness

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higher order nonlinear Schrödinger equation

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MaRDI profile type

MaRDI publication profile

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cites work

On the regularization mechanism for the periodic Korteweg-de Vries equation

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Dispersion estimates for fourth order Schrödinger equations

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Unimodular Fourier multipliers for modulation spaces

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Blowup for Biharmonic NLS

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Knocking Out Teeth in One-Dimensional Periodic Nonlinear Schrödinger Equation

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Nonlinear Schrödinger equation, differentiation by parts and modulation spaces

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THE GLOBAL CAUCHY PROBLEM FOR THE NLS WITH HIGHER ORDER ANISOTROPIC DISPERSION

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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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Q5430047

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Almost sure well-posedness of the cubic nonlinear Schrödinger equation below $L^{2}(\mathbb{T})$

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Self-Focusing with Fourth-Order Dispersion

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Rough solutions for the periodic Korteweg-de Vries equation

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

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Poincaré-Dulac normal form reduction for unconditional well-posedness of the periodic cubic NLS

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

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Q3856819

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Unconditional uniqueness results for the nonlinear Schrödinger equation

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Riemann-Hilbert approach and $N$-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

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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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Estimates for unimodular Fourier multipliers on modulation spaces

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Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation

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GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES

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On the ill-posedness of the cubic nonlinear Schr\"odinger equation on the circle

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NLS in the modulation space $M_{2,q}({\mathbb {R}})$

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The cubic fourth-order Schrödinger equation

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THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS

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Global wellposedness for 1D nonlinear Schrödinger equation for data with an infinite $L^2$ norm

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The global Cauchy problem for the NLS and NLKG with small rough data

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Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation

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Identifiers

DOI

10.21136/CMJ.2021.0078-20

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4959539