P. Shao

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L^{p}

-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds

9 citations · 11 across the 2 of their papers we have counts for

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math.AP2012★ 2 cited

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 $Δ_{g}$ on a compact manifolds $M$ with dimension $n \geq 3$ . On the Sobolev line $1/p-1…

math.AP2012★ 9 cited

On $L^{p}$ -resolvent estimates and the density of eigenvalues for compact Riemannian manifolds

Jean Bourgain, Peng Shao, Christopher D. Sogge +1

We address an interesting question raised by Dos Santos Ferreira, Kenig and Salo about regions $R_{g} \subset C$ for which there can be uniform $L^{\frac{2n}{n+2}…

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

On Lp-resolvent estimates and the density of eigenvalues for compact Riemannian manifolds

On $L^{p}$ -resolvent estimates and the density of eigenvalues for compact Riemannian manifolds