Propagation of Singularities and Nontrapping Estimates
نویسنده
چکیده
In this expository note, we prove the semiclassical propagation of singularities estimate in the presence of complex absorbtion, using the positive commutator method of Hörmander. As an application, we show a nontrapping estimate for one-dimensional semiclassical potential scattering using the method of complex scaling. We also explain how nontrapping estimates in certain other situations (such as a nontrapping obstacle in R) lead to exponential decay for solutions of the wave equation.
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