Sharp boundary estimates for elliptic operators

Details Sharp boundary estimates for elliptic operators Sharp boundary estimates for elliptic operators

1998-09-29

arxiv.org/abs/math/9809171v1

Mathematics

Spectral Theory

Scientific paper

We prove sharp L^2 boundary decay estimates for the eigenfunctions of certain
second order elliptic operators acting in a bounded region, and of their first
order space derivatives, using only the Hardy inequality. We then deduce bounds
on the change of the eigenvalues when the region is reduced slightly in size,
subject to DBCs.

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