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math.AP2019★ 2 cited
Interior estimates for the eigenfunctions of the fractional Laplacian on a bounded Euclidean domain
Xiaoqi Huang, Yannick Sire, Cheng Zhang
This paper is devoted to interior, i.e. away from the boundary, estimates for eigenfunctions of the fractional Laplacian in an Euclidean domain of .
math.AP2019★ 7 cited
Restriction of toral eigenfunctions to totally geodesic submanifolds
Xiaoqi Huang, Cheng Zhang
We estimate the norm of the restriction to a totally geodesic submanifold of the eigenfunctions of the Laplace-Beltrami operator on the standard flat torus , $d…