Bin Xu

activity

20052009

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math.SP2009

Gradient estimate of an eigenfunction on a compact Riemannian manifold without boundary

Yiqian Shi, Bin Xu

Let $e_{ł} (x)$ be an eigenfunction with respect to the Laplace-Beltrami operator $Δ_{M}$ on a compact Riemannian manifold $M$ without boundary: $Δ_{M} e_{ł} = ł^{2} e_{ł}$ . We show the following…

math.SP2005

Asymptotic behavior of $L^{2}$ -normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold

Bin Xu

Let $e (x, y, ł)$ be the spectral function and $χ_{ł}$ the unit band spectral projection operator, with respect to the Laplace-Beltrami operator $\D_M$ on a closed Riemannian manifold $…

Gradient estimate of an eigenfunction on a compact Riemannian manifold without boundary

Asymptotic behavior of L2-normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold

Asymptotic behavior of $L^{2}$ -normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold