Resolvent estimates for scalar fields with electromagnetic perturbation
Date
2004-12-07
Authors
Tarulli, Mirko
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Perturbed wave equation, Perturbed Schrödinger equation, Perturbed Dirac equation, Resolvent, Short range perturbation, Smoothing estimates
Citation
Tarulli, M. (2004). Resolvent estimates for scalar fields with electromagnetic perturbation. <i>Electronic Journal of Differential Equations, 2004</i>(146), pp. 1-14.