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arXiv · 1111.4839

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

Fernando Cardoso·Claudio Cuevas·Georgi Vodev
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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 $n=3$.

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Fernando Cardoso, Claudio Cuevas, Georgi Vodev. 2011-11-21. High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates. https://arxiv.org/abs/1111.4839

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