Analysis Seminar
Uniform Sobolev estimates on compact manifolds involving singular potentials
Xiaoqi Huang, Johns Hopkins University
Friday, April 30th, 2021
1:00 PM - 2:00 PM
Zoom ID 505 912 2491
1:00 PM - 2:00 PM
Zoom ID 505 912 2491
We will discuss generalizations of the uniform Sobolev inequalities of Kenig, Ruiz and Sogge for Euclidean spaces and Dos Santos Ferreira, Kenig and Salo for compact Riemannian manifolds involving critically singular potentials \(V\in L^{n/2}\). We shall also discuss the analogous improved quasimode estimates as well as analogues of the improved uniform Sobolev estimates involving such potentials under certain geometric conditions. This is based on recent joint work with Blair, Sire and Sogge.
Event contact: dan dot geba at rochester dot edu
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