High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates

preprint2011arXivOpen access

Abstract

We prove optimal high-frequency resolvent estimates for perturbations of the Laplacian by large long-range magnetic and electric potentials in all dimensions n≥3n\ge 3. As an application, we prove dispersive estimates for the corresponding wave group in the case n=3n=3.

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