31 citations · 53 across the 13 of their papers we have counts for
14 papers
Asymptotic analysis for the Stefan problem with a doubly nonlinear phase relaxation
Vincenzo Recupero, Chiara Zanini
In this paper we consider the Stefan problem endowed with a doubly nonlinear phase relaxation. More precisely we assume that the rate of convergence of the phase function depends o…
A Convergence result for a Stefan problem with phase relaxation
Vincenzo Recupero
In this paper we consider the model of phase relaxation introduced in [22], where an asymptotic analysis is performed toward an integral formulation of the Stefan problem when the…
Quaternionic resolvent equation and series expansion of the -resolvent operator
Riccardo Ghiloni, Vincenzo Recupero
In the present paper, we prove a resolvent equation for the -resolvent operator in the quaternionic framework. Exploiting this resolvent equation, we find a series exp…
Continuity of the non-convex play operator in the space of rectifiable curves
Jana Kopfova, Vincenzo Recupero
In this paper we prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict…
On the generators of Clifford semigroups: polynomial resolvents and their integral transforms
Riccardo Ghiloni, Vincenzo Recupero
This paper deals with generators of strongly continuous right linear semigroups in Banach two-sided spaces whose set of scalars is an arbitrary Clifford algebra $\math…
Convex valued geodesics and applications to sweeping processes with bounded retraction
Vincenzo Recupero
In this paper we provide a formulation for sweeping processes with arbitrary locally bounded retraction, not necessarily left or right continuous. Moreover we provide a proof of th…
Multidimensional play operators with arbitrary BV inputs
Vincenzo Recupero
In this paper we provide an integral variational formulation for a vector play operator where the inputs are allowed to be arbitrary functions with (pointwise) bounded variation, n…
Explicit and implicit non-convex sweeping processes in the space of absolutely continuous functions
Pavel Krejci, Giselle Antunes Monteiro, Vincenzo Recupero
We show that sweeping processes with possibly non-convex prox-regular constraints generate a strongly continuous input-output mapping in the space of absolutely continuous function…
Non-convex sweeping processes in the space of regulated functions
Pavel Krejci, Giselle Antunes Monteiro, Vincenzo Recupero
The aim of this paper is to study a wide class of non-convex sweeping processes with moving constraint whose translation and deformation are represented by regulated functions, i.e…
Sweeping processes with prescribed behaviour on jumps
Vincenzo Recupero, Filippo Santambrogio
We present a generalized formulation of sweeping process where the behaviour of the solution is prescribed at the jump points of the driving moving set. An existence and uniqueness…
Slice regular semigroups
Riccardo Ghiloni, Vincenzo Recupero
In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space. It is an operatorial function which is slice regular (a noncommutative…
BV-norm continuity of sweeping processes driven by a set with constant shape
Jana Kopfová, Vincenzo Recupero
We prove the BV-norm well posedness of sweeping processes driven by a moving convex set with constant shape, namely the BV-norm continuity of the so-called play operator of elasto-…
Noncommutative Cauchy integral formula
Riccardo Ghiloni, Alessandro Perotti, Vincenzo Recupero
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice regular functions and for C^1 functions on a real alternative *-algebra. Slice regu…
Semigroups over real alternative *-algebras: generation theorems and spherical sectorial operators
Riccardo Ghiloni, Vincenzo Recupero
The aim of this paper is twofold. On one hand, generalizing some recent results obtained in the quaternionic setting, but using simpler techniques, we prove the generation theorems…