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math.AP2015★ 6 cited
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues
Alex Barnett, Andrew Hassell, Melissa Tacy
For smooth bounded domains in , we prove upper and lower bounds on the boundary data of Neumann eigenfunctions, and prove quasi-orthogonality of this boundary dat…
math.AP2015★ 3 cited
Lp bilinear quasimode estimates
Zihua Guo, Xiaolong Han, Melissa Tacy
In this paper, we investigate the bilinear quasimode estimates on compact Riemannian manifolds. We obtain results in the full range on all -dimensional manifolds w…