A. Mantile

activity

20052026

most citedSelf-adjoint elliptic operators with boundary conditions on not closed hypersurfaces

48 citations · 130 across the 27 of their papers we have counts for

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Showing 2026 · math.APShow all

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math.AP2026

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…

math.AP2026

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

Andrea Mantile, Andrea Posilicano

We study the acoustic operator $A_{v, ρ} := v^{2} ρ \nabla \cdot ρ^{- 1} \nabla$ with transmission conditions at the boundary of $Ω = Ω_{1} \cup \dots \cup Ω_{n}$ , where the $Ω_{ℓ}$ 's are co…