48 citations · 130 across the 27 of their papers we have counts for
18 papers · 1 filter
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…
Inverse wave scattering in the time domain for point scatterers
Andrea Mantile, Andrea Posilicano
Let be the bounded from above self-adjoint realization in of the Laplacian with point scatterers placed at $Y=\{y_{1},\dots,y_{n}\}\subset{\m…
Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles
Guanghui Hu, Andrea Mantile, Mourad Sini +1
This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justif…
Limiting absorption principle and scattering matrix for Dirac operators with -shell interactions
Jussi Behrndt, Markus Holzmann, Andrea Mantile +1
We provide a limiting absorption principle for self-adjoint realizations of Dirac operators with electrostatic and Lorentz scalar -shell interactions supported on regular compac…