%0 Journal Article
%T Resolvent estimates for scalar fields with electromagnetic perturbation
%A Mirko Tarulli
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X In this note we prove some estimates for the resolvent of the operator $-Delta$ perturbed by the differential operator $$ V(x,D)=ia(x)cdot abla+V(x)quad hbox{in }mathbb{R}^3,. $$ This differential operator is of short range type and a compact perturbation of the Laplacian on $mathbb{R}^3$. Also we find estimates in the space-time norm for the solution of the wave equation with such perturbation.
%K Perturbed wave equation
%K perturbed Schrodinger equation
%K perturbed Dirac equation
%K resolvent
%K short range perturbation
%K smoothing estimates.
%U http://ejde.math.txstate.edu/Volumes/2004/146/abstr.html