On $L^p$ resolvent estimates for Laplace-Beltrami operators on compact manifolds

David Dos Santos Ferreira, Carlos E. Kenig, Mikko Salo

In this article we prove $L^p$ estimates for resolvents of Laplace-Beltrami operators on compact Riemannian manifolds, generalizing results of Kenig, Ruiz and Sogge in the Euclidea…