L^p bounds for eigenfunctions for Lipschitz metrics
Speaker:
Hart Smith, University of Washington
Date and Time:
Thursday, February 21, 2008 - 3:00pm to 3:45pm
Location:
Fields Institute, Room 230
Abstract:
I will discuss recent joint work with H. Koch and D. Tataru towards establishing Lp bounds on spectrally localized functions on compact manifolds with low-regularity metrics. It is known by examples that the spectral cluster estimates of Sogge fail for metrics that are less regular than C 2. In our work we obtain estimates for the case of Lipschitz metrics which, while likely not sharp, improve substantially on known bounds.