66 citations · 458 across the 52 of their papers we have counts for
10 papers · 1 filter
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…
On the Origin of Minnaert Resonances
Andrea Mantile, Andrea Posilicano, Mourad Sini
It is well known that the presence, in a homogeneous acoustic medium, of a small inhomogeneity (of size ), enjoying a high contrast of both its mass density and bulk m…
Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity
Nabile Boussaid, Claudio Cacciapuoti, Raffaele Carlone +3
We consider the nonlinear Dirac equation with Soler-type nonlinearity concentrated at one point and present a detailed study of the spectrum of linearization at solitary waves. We…
Inverse wave scattering in the Laplace domain: a factorization method approach
Andrea Mantile, Andrea Posilicano
Let be a semi-bounded self-adjoint realization of the Laplace operator with boundary conditions (Dirichlet, Neumann, semi-transparent) assigned on the Lipschitz bounda…
Inverse Scattering for the Laplace operator with boundary conditions on Lipschitz surfaces
Andrea Mantile, Andrea Posilicano
We provide a general scheme, in the combined frameworks of Mathematical Scattering Theory and Factorization Method, for inverse scattering for the couple of self-adjoint operators…
Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces
Andrea Mantile, Andrea Posilicano, Mourad Sini
We prove uniqueness in inverse acoustic scattering in the case the density of the medium has an unbounded gradient across , where is a bounded open subse…
Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
A. Mantile, A. Posilicano, M. Sini
The abstract theory of self-adjoint extensions of symmetric operators is used to construct self-adjoint realizations of a second-order elliptic operator on with li…
Markovian Extensions of Symmetric Second Order Elliptic Differential Operators
Andrea Posilicano
Let be bounded with a smooth boundary and let be the symmetric operator in given by the minimal realization of a second order elliptic diff…
Krein's Resolvent Formula for Self-Adjoint Extensions of Symmetric Second Order Elliptic Differential Operators
Andrea Posilicano, Luca Raimondi
Given a symmetric, semi-bounded, second order elliptic differential operator on a bounded domain with boundary, we provide a Krein-type formula for the resolvent differen…