A. Mantile

collaborators

3 papers

math.AP2026

Resolvent, spectrum and resonances for the acoustic operator with piecewise constant coefficients

Andrea Mantile, Andrea Posilicano

We study the acoustic operator $A_{v, I ¨ } := v^{2} I ¨ \nabla \cdot I ¨ ^{- 1} \nabla$ with transmission conditions at the boundary of $I^c ◯ = I^c ◯_{1} \cup \dots \cup I^c ◯_{n}$ , where the $I^c ◯_{ℓ}$ 's…

math-ph2024

The point scatterer approximation for wave dynamics

Andrea Mantile, Andrea Posilicano

Given an open, bounded and connected set $I^c ◯ \subset R^{3}$ and its rescaling $I^c ◯_{ε}$ of size $ε ≪ 1$ , we consider the solutions of the Cauchy problem…

math.SP2024

Body resonances for classical waves

Andrea Mantile, Andrea Posilicano

We provide a detailed study of the spectral properties of the linear operator $H (ε) = - (ε^{2} I ¨ _{I^c ◯_{ε}} + I ¨ _{I^c ◯_{ε}^{c}}) I^$ modeling, through…