Klein-Gordon equations on modulation spaces

DOI10.1155/2014/947642zbMath1474.35484OpenAlexW2070161325WikidataQ59043043 ScholiaQ59043043MaRDI QIDQ1725343

Guoping Zhao, Jiecheng Chen, Weichao Guo

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/947642

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Time-frequency analysis of the Dirac equation ⋮ Estimates on the modulation spaces for the Dirac equation with potential ⋮ Time-decay and Strichartz estimates for the BBM equation on modulation spaces: existence of local and global solutions ⋮ Global Cauchy problems for the Klein-Gordon, wave and fractional Schr\"odinger equations with Hartree nonlinearity on modulation spaces

Cites Work

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• Isometric decomposition operators, function spaces \(E_{p,q}^{\lambda}\) and applications to nonlinear evolution equations
• The global Cauchy problem for the NLS and NLKG with small rough data
• Unimodular Fourier multipliers for modulation spaces
• Nonlinear scattering theory at low energy
• Estimates for wave and Klein-Gordon equations on modulation spaces
• Stability of nonlinear Schrödinger equations on modulation spaces
• Local well-posedness of nonlinear dispersive equations on modulation spaces
• Modulation Spaces and Nonlinear Evolution Equations

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