Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity

DOI10.1007/S10114-014-2727-1zbMath1290.35173arXiv1204.6640OpenAlexW2170449418MaRDI QIDQ2453840

Ru Ying Xue

Publication date: 11 June 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6640

zbMATH Keywords

Klein-Gordon equationscattering operatorStrichartz estimatescubic convolution nonlinearity

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)

Related Items (1)

Initial boundary value problem for a class of wave equations of Hartree type

Cites Work

• Unnamed Item
• On the global well-posedness of the Benjamin-Ono equation
• Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity
• On small data scattering with cubic convolution nonlinearity
• On a wave equation with a cubic convolution
• \(L^p-L^q\) estimates for the Klein-Gordon equation
• Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions
• Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions

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