48 citations · 130 across the 27 of their papers we have counts for
29 papers
Sign-indefinite transmission conditions and near-zero eigenvalues and resonances
Andrea Mantile, Andrea Posilicano
We consider the linear operator for metamaterial modeling $$L_{c,d }=(χ_{\RE^{3}\backslash\overline Ω}+c)\nabla\!\cdot (χ_{\RE^{3}\backslash\overline Ω}+d)\nabla\,,$$ where the mat…
Resolvent, spectrum and resonances for the acoustic operator with piecewise constant coefficients
Andrea Mantile, Andrea Posilicano
We study the acoustic operator with transmission conditions at the boundary of , where the 's are co…
Body resonances for classical waves
Andrea Mantile, Andrea Posilicano
We provide a detailed study of the spectral properties of the linear operator modeling, through the…
The point scatterer approximation for wave dynamics
Andrea Mantile, Andrea Posilicano
Given an open, bounded and connected set and its rescaling of size , we consider the solutions of the Cauchy problem fo…
Resonances and inverse problems for energy-dependent potentials on the half-line
Evgeny Korotyaev, Andrea Mantile, Dmitrii Mokeev
We consider Schrödinger equations with linearly energy-depending potentials which are compactly supported on the half-line. We first provide estimates of the number of eigenvalues…
Scattering theory with both regular and singular perturbations
Andrea Mantile, Andrea Posilicano
We provide an asymptotic completeness criterion and a representation formula for the scattering matrix of the scattering couple , where both and are self-adjoint…