Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity

Authors
Xue, Ru Ying
Citation
Xue, Ru Ying, Scattering problem for Klein-Gordon equation with cubic convolution nonlinearity, Acta mathematica Sinica. English series (Print) , 30(5), 2014, pp. 827-836
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
5
Year of publication
2014
Pages
827 - 836
Database
ACNP
SICI code
Abstract
The scattering problem for the Klein-Gordon equation with cubic convolution nonlinearity is considered. Based on the Strichartz estimates for the inhomogeneous Klein-Gordon equation, we prove the existence of the scattering operator, which improves the known results in some sense.