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arxiv: 1111.4839 · v2 · pith:SX6YUHMTnew · submitted 2011-11-21 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords estimatesdispersivelargelong-rangemagneticperturbationspotentialsprove
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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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