Ημερομηνία: Παρασκευη 6 Δεκεμβρίου 2024
Ώρα: 15:00
Τόπος: Α22
Oμιλητής: Orestis Vantzos, from Department of Research, Technology and Development, IPTO.
Τίτλος: Maximally Monotone Flows
Περίληψη: We consider the notion of the flow of a maximally monotone operator A over a Hilbert space H, i.e. a solution of the initial-value problem u'(t)\in -A[u[t]], u(0)=u_0. The canonical example is the gradient flow of a (proper, convex, lower semicontinuous) functional I, where the maximally monotone operator is the subgradient of I. We discuss the well-posedness of such flows, and their time-discretization via minimal movements. Combined with a recently introduced class of splitting algorithms for determining the zeros of sums of maximally monotone operators, this technique opens up the numerical treatment of a class of interesting evolution problems.