Dispersive estimates for a linear wave equation with electromagnetic potential

We consider radial solutions to the Cauchy problem for a linear wave equation with a small short-range electromagnetic potential (depending on space and time) and zero initial data. We present two dispersive estimates that provide, in particular, an optimal decay rate in time $t^{-1}$ for the so...

Full description

Bibliographic Details
Main Author: Davide Catania
Format: Article
Language:English
Published: Texas State University 2008-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/150/abstr.html