Oran Gannot, Northwestern University – Analysis & PDE Seminar

Title: Semiclassical diffraction by conormal potential singularities

Abstract: I will describe joint work with Jared Wunsch on propagation of singularities for some semiclassical Schrödinger equations, where the potential is Hölder continuous and conormal to a hypersurface. Semiclassical singularities of a given strength propagate across the hypersurface up to a threshold depending on both the regularity of the potential and the singularities along certain broken backwards bicharacteristics.