Abstract:
It is well known that the resolvent at energy m>0 of the free Schrödinger operator on weighted L^2 spaces has norm decaying like m^{-1/2}. We show that this result is still valid for first-order perturbations of the free case. Our proof only involves integration by parts, multiplier techniques, and a Carleman estimate-type. This is a joint work with Mikko Salo and Cristóbal Meroño.