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20022022
most citedThe size of the nodal sets for the eigenfunctions of the smooth laplacian

2 citations · 2 across the 6 of their papers we have counts for

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Showing 2013Show all

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math.AP2013

Eigenvalue gaps for the Laplacian on hypersurfaces of the sphere

Demetrios A. Pliakis

We provide lower estimates for the eigenvalues of the laplacian for hypersurfaces of the round sphere.

math-ph2013

Spectrally determined singularities in a potential with an inverse square initial term

Demetrios A. Pliakis

We study the inverse spectral problem for Bessel type operators with potential (v(x)): (H_κ=-\partial_x^2+\frac{k}{x^2}+v(x)). The potential is assumed smooth in ((0,R)) and with a…

math.AP2013★ 2 cited

The size of the nodal sets for the eigenfunctions of the smooth laplacian

Demetrios A. Pliakis

We prove estimates for eigenfunctions on a manifold equipped with a smooth metric. We use these estimates in order estimate the size of their nodal sets.