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

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

2011-11-21

arxiv.org/abs/1111.4839v2

Mathematics

Analysis of PDEs

20 pages, some improvements are made

Scientific paper

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 $n=3$.

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