Energy scattering for a Klein-Gordon equation with a cubic convolution

DOI10.1016/J.JDE.2014.05.036zbMath1301.35080arXivmath/0612028OpenAlexW2073130903MaRDI QIDQ2250586

Ji Qiang Zheng, Chang Xing Miao

Publication date: 7 July 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612028

zbMATH Keywords

blow-upglobal existencescattering theoryStrichartz estimateKlein-Gordon-Hartree equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum scattering theory (81U99) Blow-up in context of PDEs (35B44)

Related Items (7)

Sharp threshold of global existence and blow-up of the combined nonlinear Klein-Gordon equation ⋮ Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity ⋮ Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation ⋮ Strong ill-posedness for fractional Hartree and cubic NLS equations ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Scattering theory for the defocusing energy-supercritical nonlinear wave equation with a convolution ⋮ Global Cauchy problems for the Klein-Gordon, wave and fractional Schr\"odinger equations with Hartree nonlinearity on modulation spaces

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