The HADES seminar on Tuesday, October 8th, will be at 2:00pm in Room 740.

Speaker: Robert Schippa

Abstract: We consider -smoothing estimates for the wave equation with harmonic potential. For the proof, we linearize an FIO parametrix, which yields Klein-Gordon propagation with variable mass parameter. We obtain decoupling and square function estimates depending on the mass parameter, which yields local smoothing estimates with sharp loss of derivatives. The obtained range is sharp in 1D, and partial results are obtained in higher dimensions.