Wellposedness of NLS in modulation spaces (Q2111511)

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Language	Label	Description	Also known as
English	Wellposedness of NLS in modulation spaces	scientific article

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scholarly article

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Wellposedness of NLS in modulation spaces (English)

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Friedrich Klaus

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The Journal of Fourier Analysis and Applications

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publication date

17 January 2023

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full work available at URL

https://arxiv.org/abs/2204.04957

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zbMATH Keywords

nonlinear Schrödinger equation

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modulation spaces

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MaRDI profile type

MaRDI publication profile

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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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The spaces \(L^ p\), with mixed norm

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Unimodular Fourier multipliers for modulation spaces

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Local well-posedness of nonlinear dispersive equations on modulation spaces

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

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Functions operating on modulation spaces and nonlinear dispersive equations

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Dispersive blow-up for nonlinear Schrödinger equations revisited

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On the existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space \(M_{p, q}(\mathbb{R})\)

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Nonlinear Schrödinger equation, differentiation by parts and modulation spaces

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SHARPNESS OF SOME PROPERTIES OF WIENER AMALGAM AND MODULATION SPACES

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Dilation properties for weighted modulation spaces

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The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures

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Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in <i>L</i> <i>p</i>-based Sobolev spaces

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Foundations of time-frequency analysis

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

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Low regularity conservation laws for integrable PDE

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Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\)

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Conserved energies for the cubic nonlinear Schrödinger equation in one dimension

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Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps

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Ill-Posedness Issues for the Benjamin--Ono and Related Equations

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

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

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Modulation Spaces and Nonlinear Evolution Equations

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On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data

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Infinite-energy solutions to energy-critical nonlinear Schrödinger equations in modulation spaces

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A polarization identity for multilinear maps

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

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00041-022-09985-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2111511

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