"Subdifferentials and Monotone Operators" with Dr. Dhruba Adhikari Conference/Lecture Friday, September 28, 2018 The event started -2079 days agoMultiday event - 0 days 3:45 PM 4:45 PM Shelby Center Room 218 The Mathematical Colloquium Series presents Dr. Dhruba Adhikari, Department of Mathematics, Kennesaw State University "Subdifferentials and Monotone Operators" Subdifferentials of proper, closed and convex functions are linked with the solvability of optimization problems with constraints. The notion of directional derivatives of proper, closed and convex functions defined on finite-dimensional spaces will lead to the consideration of set-valued operators called subdifferentials, which yield an important subclass of maximal monotone operators. The talk will begin with a gentle introduction to monotone operators and subdifferentiability of proper, closed and convex functions. In order to show the plentitude of monotone operators, some examples from ordinary and partial differential equations will be discussed. In particular, the Laplace operator and p-Laplace operators will be shown to be the subdifferentials of some convex functionals on relevant function spaces. If time permits, the existence of nontrivial solutions of operator equations involving maximal monotone operators in reflexive Banach spaces will be presented. Details Category Conference/Lecture department College of Science, Department of Mathematical Sciences Audience Students, Faculty and Staff Contact Tamara Lang 256-824-6400 This email address is being protected from spambots. You need JavaScript enabled to view it. Venue Shelby Center301 Sparkman DriveHuntsville, AL 35899View map More Dates SHARE