2 citations · 2 across the 6 of their papers we have counts for
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Small time heat expansion of the laplacian on an analytic hypersurface with an isolated singularity
Demetrios A. Pliakis
I prove the existence of small time heat expansion for the Laplace operator on an analytic hypersurface with an isolated singularity. First we obtain a local parametrization of the…
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.
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.
On certain generalized Hardy's inequalities and applications
Demetrios A. Pliakis
We prove certain generalization of Hardy's inequality where the "boundary defining function" is replaced by a polynomial defining a singular algebraic variety. An application is gi…