Gradient estimates for eigenfunctions on compact Riemannian manifolds with boundary
نویسنده
چکیده
The purpose of this paper is to prove the L∞ gradient estimates and L∞ gradient estimates for the unit spectral projection operators of the Dirichlet Laplacian and Neumann (or more general, Ψ1-Robin) Laplacian on compact Riemannian manifolds (M, g) of dimension n ≥ 2 with C2 boundary . And we also get an upper bounds for normal derivatives of the unit spectral projection operators of the Dirichlet Laplacian from L2(M) to L2(∂M).
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