Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

DOI10.3934/DCDS.2006.15.973zbMath1123.35049OpenAlexW1982709628MaRDI QIDQ874398

Hironobu Sasaki

Publication date: 5 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.973

zbMATH Keywords

asymptotic behaviorscatteringKlein-Gordon equationglobal existenceStrichartz estimatescubic convolution

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with quantum mechanics (35Q40)

Related Items (4)

The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Scattering theory for the Dirac equation of Hartree type and the semirelativistic Hartree equation ⋮ Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity

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