92 citations · 184 across the 24 of their papers we have counts for
Showing 1998Show all
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math.SP1998★ 3 cited
Sharp boundary estimates for elliptic operators
E B Davies
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…
math.SP1998★ 4 cited
A review of Hardy inequalities
E B Davies
We review the literature concerning the Hardy inequality for regions in Euclidean space and in manifolds, concentrating on the best constants. We also give applications of these in…
math.SP1998★ 92 cited
Semi-classical States for Non-self-adjoint Schrodinger Operators
E B Davies
We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit. Similar results hold for a fixed operator in the high energy l…