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

Abstract

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

20 pages, some improvements are made

References in corpus (1)

• Semi-classical dispersive estimates