Uniform Sobolev Resolvent Estimates for the Laplace-Beltrami Operator on Compact Manifolds

Peng Shao, Xiaohua Yao

In this paper we continue the study on the resolvent estimates of the Laplace-Beltrami operator ${\Delta }_g$ on a compact manifolds $M$ with dimension $n\ge 3$. On the Sobolev line $1/p-1…