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Mathematics  2011 

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

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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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