Modulation Spaces and Nonlinear Evolution Equations (Q4898790)

scientific article; zbMATH DE number 6121245

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English	Modulation Spaces and Nonlinear Evolution Equations	scientific article; zbMATH DE number 6121245

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instance of

scholarly article

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title

Modulation Spaces and Nonlinear Evolution Equations (English)

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Evolution Equations of Hyperbolic and Schrödinger Type

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publication date

2 January 2013

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full work available at URL

https://arxiv.org/abs/1203.4651

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zbMATH Keywords

frequency-uniform localization

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modulation spaces

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nonlinear Schrödinger equation

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MaRDI profile type

MaRDI publication profile

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cites work

Local well-posedness of nonlinear dispersive equations on modulation spaces

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Unimodular Fourier multipliers for modulation spaces

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Q4112938

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The cauchy problem for the critical nonlinear Schrödinger equation in Hs

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Q4434430

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Asymptotic estimates for unimodular Fourier multipliers on modulation spaces

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

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Some new Strichartz estimates for the Schrödinger equation

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Remarks on Fourier multipliers and applications to the wave equation

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SHARPNESS OF SOME PROPERTIES OF WIENER AMALGAM AND MODULATION SPACES

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Well-posedness of a dissipative nonlinear electrohydrodynamic system in modulation spaces

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

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Q3531572

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Foundations of time-frequency analysis

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Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type

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Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\)

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

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The general quasilinear ultrahyperbolic Schrödinger equation

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Small solutions to nonlinear Schrödinger equations

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

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Long-time behavior of solutions to nonlinear evolution equations

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Space‐time estimates for null forms and the local existence theorem

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Smoothing estimates for null forms and applications

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Global, small amplitude solutions to nonlinear evolution equations

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Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)

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Dual of modulation spaces

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Molecular decomposition of the modulation spaces

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The inclusion relation between Sobolev and modulation spaces

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On the Davey-Stewartson systems

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Estimates for unimodular Fourier multipliers on modulation spaces

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On the nonlinear Schrodinger equations of derivative type

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Global existence of small classical solutions to nonlinear Schrödinger equations

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On the sharpness of Seeger-Sogge-Stein orders

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Singularities of affine fibrations in the regularity theory of Fourier integral operators

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Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients

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Changes of variables in modulation and Wiener amalgam spaces

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Smoothing properties of evolution equations via canonical transforms and comparison principle

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Structural resolvent estimates and derivative nonlinear Schrödinger equations

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Global existence of small solutions to nonlinear evolution equations

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Normal forms and quadratic nonlinear Klein-Gordon equations

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Q5200729

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The dilation property of modulation spaces and their inclusion relation with Besov spaces

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Remarks on nonlinear operations on modulation spaces

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Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.

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Q3336200

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Modulation spaces on the Euclidean n-space

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

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

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

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

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

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Multi-scale expansions in the theory of systems integrable by the inverse scattering transform

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Degenerative dispersion laws, motion invariants and kinetic equations

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Identifiers

zbMATH Open document ID

1256.42038

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DOI

10.1007/978-3-0348-0454-7_14

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4898790