Resolvent estimates for scalar fields with electromagnetic perturbation
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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.
CitationTarulli, M. (2004). Resolvent estimates for scalar fields with electromagnetic perturbation. Electronic Journal of Differential Equations, 2004(146), pp. 1-14.
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