Estimates for wave and Klein-Gordon equations on modulation spaces

DOI10.1007/s11425-012-4509-5zbMath1258.42022OpenAlexW2254670046MaRDI QIDQ1934002

Jiecheng Chen, Fan, Dashan

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4509-5

zbMATH Keywords

wave equationKlein-Gordon equationmodulation space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Wave equation (35L05) Harmonic analysis and PDEs (42B37)

Related Items (9)

Modulation space estimates for damped fractional wave equation ⋮ Sharpness of some properties of weighted modulation spaces ⋮ Time-frequency analysis of the Dirac equation ⋮ Estimate for generalized unimodular multipliers on modulation spaces ⋮ Estimates on the modulation spaces for the Dirac equation with potential ⋮ Non-integer power estimate in modulation spaces and its applications ⋮ Estimates for unimodular multipliers on modulation Hardy spaces ⋮ Klein-Gordon equations on modulation spaces ⋮ Boundedness of fractional integral operators on \(\alpha\)-modulation spaces

Cites Work

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• Asymptotic estimates for unimodular Fourier multipliers on modulation spaces
• Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
• Unimodular Fourier multipliers for modulation spaces
• Parabolic maximal functions associated with a distribution. II
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
• An algebra of pseudodifferential operators
• Dual of modulation spaces
• Estimates for unimodular Fourier multipliers on modulation spaces

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