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math.AP2016
Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators
Laura Abatangelo, Veronica Felli, Luc Hillairet +1
We first establish a sharp relation between the order of vanishing of a Dirichlet eigenfunction at a point and the leading term of the asymptotic expansion of the Dirichlet eigenva…
math.AP2015★ 2 cited
Wave propagation on Euclidean surfaces with conical singularities. I: Geometric diffraction
G. Austin Ford, Andrew Hassell, Luc Hillairet
We investigate the singularities of the trace of the half-wave group, , on Euclidean surfaces with conical singularities . We compute the leadi…