Student Harmonic Analysis and PDE Seminar (HADES): Semiclassical diffraction by conormal potential singularities

Seminar | August 28 | 3:40-5 p.m. | 740 Evans Hall

 Oran Gannot, Northwestern University

 Department of Mathematics

I will describe joint work with Jared Wunsch on propagation of singularities for some semiclassical Schrodinger equations where the potential is conormal to a hypersurface, with applications to logarithmic resonance-free regions. Semiclassical singularities of a given strength propagate across the hypersurface up to a threshold depending on the regularity of the potential and the singularities along certain backwards branching bicharacteristics.