Scattering for the Klein-Gordon equations with time-dependent potentials (Q981921)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Scattering for the Klein-Gordon equations with time-dependent potentials |
scientific article; zbMATH DE number 5734872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scattering for the Klein-Gordon equations with time-dependent potentials |
scientific article; zbMATH DE number 5734872 |
Statements
Scattering for the Klein-Gordon equations with time-dependent potentials (English)
0 references
9 July 2010
0 references
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)].
0 references
scattering operators
0 references
real valued potential
0 references
0 references
0 references
0 references
