We prove uniform Sobolev estimates for the resolvent of Schrödinger operators with large scaling-critical potentials without any repulsive condition. As applications, global-in-time Strichartz estimates including some nonadmissible retarded estimates, a Hörmander-type spectral multiplier theorem, and Keller-type eigenvalue bounds with complex-valued potentials are also obtained.
"Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications." Anal. PDE 13 (5) 1333 - 1369, 2020. https://doi.org/10.2140/apde.2020.13.1333