Tarulli, Mirko2021-05-172021-05-172004-12-07Tarulli, M. (2004). Resolvent estimates for scalar fields with electromagnetic perturbation. <i>Electronic Journal of Differential Equations, 2004</i>(146), pp. 1-14.1072-6691https://hdl.handle.net/10877/13567In this note we prove some estimates for the resolvent of the operator -Δ perturbed by the differential operator V(x, D) = iα(x) ∙ ∇ + V(x) in ℝ3. This differential operator is of short range type and a compact perturbation of the Laplacian on ℝ3. Also we find estimates in the space-time norm for the solution of the wave equation with such perturbation.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalPerturbed wave equationPerturbed Schrödinger equationPerturbed Dirac equationResolventShort range perturbationSmoothing estimatesArticle