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On the radius of spatial analyticity for the 1d Dirac–Klein–Gordon equations.

Authors :
Selberg, Sigmund
Tesfahun, Achenef
Source :
Journal of Differential Equations. Nov2015, Vol. 259 Issue 9, p4732-4744. 13p.
Publication Year :
2015

Abstract

We study the well-posedness of the Dirac–Klein–Gordon system in one space dimension with initial data that have an analytic extension to a strip around the real axis. It is proved that the radius of analyticity σ ( t ) of the solutions at time t cannot decay faster than 1 / t 4 as | t | → ∞ . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
259
Issue :
9
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
108613232
Full Text :
https://doi.org/10.1016/j.jde.2015.06.007