66 citations · 458 across the 52 of their papers we have counts for
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Nonlinear Maximal Monotone Extensions of Symmetric Operators
Andrea Posilicano
Given a linear semi-bounded symmetric operator , we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators of type (i.…
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…
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…
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…
Boundary Conditions for Singular Perturbations of Self-Adjoint Operators
Andrea Posilicano
Let $A:D(A)\subseteq\H\to\H$ be an injective self-adjoint operator and let $τ:D(A)\to\X$, X a Banach space, be a surjective linear map such that $\|τϕ\|_\X\le c \|Aϕ\|_\H$. Supposi…
A Krein-Like Formula for Singular Perturbations of Self-Adjoint Operators and Applications
Andrea Posilicano
Given a self-adjoint operator $A:D(A)\subseteq\calH\to\calH$ and a continuous linear operator $τ:D(A)\to\X$ with Range$ τ'\cap\calH' ={0}$, $\X$ a Banach space, we explicitly const…