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\(\alpha\)-modulation spaces (II) derivative NLS (Q2420528)

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Language	Label	Description	Also known as
English	\(\alpha\)-modulation spaces (II) derivative NLS	scientific article

Statements

scholarly article

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\(\alpha\)-modulation spaces (II) derivative NLS (English)

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Journal of Differential Equations

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publication date

6 June 2019

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zbMATH Keywords

\(\alpha\)-modulation space

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derivative NLS

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global well-posedness

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ill-posedness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jde.2019.04.015

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Functions operating on modulation spaces and nonlinear dispersive equations

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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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Gain of regularity for semilinear Schrödinger equations

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Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality

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Coherent structures in strongly interacting many-body systems. II. Classical solutions and quantum fluctuations

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Foundations of time-frequency analysis

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\(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties

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On the derivative nonlinear Schrödinger equation

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Navier-Stokes equations and nonlinear heat equations in modulation spaces with negative derivative indices

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Well-posedness for the generalized Zakharov-Kuznetsov equation on modulation spaces

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The Cauchy problem for the generalized Zakharov-Kuznetsov equation on modulation spaces

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Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

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On the \(L^2\)-boundedness of pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces

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Trace ideals for pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces

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On the Davey-Stewartson systems

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Modulation spaces and non-linear Hartree type equations

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Space-time estimates for null gauge forms and nonlinear Schrödinger equations

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Global existence of small classical solutions to nonlinear Schrödinger equations

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Local well-posedness for the Davey-Stewartson equation in a generalized Feichtinger algebra

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Coherent structures in strongly interacting many-body systems. I. Derivation of dynamics

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

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

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Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations

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Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data

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Globally well and ill posedness for non-elliptic derivative Schrödinger equations with small rough data

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2019.04.015

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2420528

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