International Journal of Mathematics and Mathematical Sciences 
Volume 8 (1985), Issue 1, Pages 75-91
doi:10.1155/S0161171285000072

Finite propagation speed and kernels of strictly elliptic operators

David Gurarie

 Department of Mathematics, Case Western Reserve University, Cleveland 44106, Ohio, USA
Received 20 September 1984

Abstract

We establish estimates of the resolvent and other related kernels and discuss Lp-theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0+B with the leading elliptic part A0 and a “singular” perturbation B, whose coefficients have Lp-type and are modeled after Schrödinger operators.