Seminar
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| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
I will describe joint work with Jared Wunsch on propagation of singularities for some semiclassical Schrodinger equations where the potential is not smooth in directions normal to an interface. Singularities of a given strength propagate across the interface, but only up to a threshold. This is due to diffracted singularities which are weaker than the incident singularity by a factor depending on the regularity of the potential. Applications will be given to logarithmic resonance-free regions and long-time asymptotics of quantum evolution.
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