İstanbul Üniversitesi Matematik Bölümü Seminerleri
Truncated nonconvex sweeping processes
Imene Mecemma
Mohamed Sadik Ben Yahia University of Jijel, Algeria, Cezayir
The sweeping process is a particular differential inclusion governed by a normal cone to a moving set. We state, in this work, an existence result for a class of second-order nonconvex sweeping process depending on both time and state, with an unbounded perturbation in infinite dimensional Hilbert spaces by proposing a semi-implicit discretization scheme based on Moreau's catching-up algorithm.
