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Seminar

MLA - Weekly Seminar: Diffraction by conormal potential singularities September 11, 2019 (03:30 PM PDT - 04:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Oran Gannot (Northwestern University)
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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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