48 citations · 55 across the 5 of their papers we have counts for
9 papers
Point interactions in acoustics: one dimensional models
C. Cacciapuoti, R. Figari, A. Posilicano
A one dimensional system made up of a compressible fluid and several mechanical oscillators, coupled to the acoustic field in the fluid, is analyzed for different settings of the o…
Singular Perturbations of Abstract Wave equations
Andrea Posilicano
Given, on the Hilbert space $\H_0$, the self-adjoint operator and the skew-adjoint operators and , we consider, on the Hilbert space $\H\simeq D(B)\oplus\H_0$, the s…
Convergence of symmetric diffusions on Wiener spaces
Andrea Posilicano, Tusheng Zhang
We prove convergence of symmetric diffusions on Wiener spaces by using stopping times arguments and capacity techniques. The drifts of the diffusions can be singular, we require th…
Boundary triples and Weyl functions for singular perturbations of self-adjoint operators
Andrea Posilicano
Given the symmetric operator obtained by restricting the self-adjoint operator to , a linear dense set, closed with respect to the graph norm, we determine a convenien…
Asymptotic flux across hypersurfaces for diffusion processes
Andrea Posilicano, Stefania Ugolini
We suggest a rigorous definition of the pathwise flux across the boundary of a bounded open set for transient finite energy diffusion processes. The expectation of such a flux has…
Self-Adjoint Extensions by Additive Perturbations
Andrea Posilicano
Let be the symmetric operator given by the restriction of to , where is a self-adjoint operator on the Hilbert space $\H$ and is a linear dense set which is…