5 papers
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…
Oscillations of a temperature-dependent piezoelectric rod
Pavel Krejci, Giselle Antunes Monteiro
Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials,…
Inverse parameter-dependent Preisach operator in thermo-piezoelectricity modeling
Pavel Krejci, Giselle Antunes Monteiro
Hysteresis is an important issue in modeling piezoelectric materials, for example, in applications to energy harvesting, where hysteresis losses may influence the efficiency of the…
On functions of bounded semivariation
Giselle Antunes Monteiro
The concept of bounded variation has been generalized in many ways. In the frame of functions taking values in Banach space, the concept of bounded semivariation is a very importan…