Scattering for the Klein-Gordon equations with time-dependent potentials
The paper concentrates on the Klein-Gordon equation with a real valued potential \(V(x,t)\). In case \(V(x,t)\) satisfies a special boundedness condition, the existence of scattering operators is proved. Strichartz estimates are used and the author is inspired by the results for potentially free Klein-Gordon equations obtained by \textit{N. Hayashi} and \textit{P. Naumkin} in [J. Differ. Equations 244, No. 1, 188--199 (2008; Zbl 1136.35079)].
scientific article; zbMATH DE number 5734872
scientific article