Timeslots:
Monday, March 25th, 3 pm until 4.30 pm, SR16, 3rd floor, Oskar-Morgenstern-Platz 1
Tuesday, March 26th, 1.15 pm until 2.45 pm, SR13, 2nd floor, OMP1
Wednesday, March 27th, 1.15 pm until 2.45 pm, SR13, 2nd floor, OMP1
Thursday, March 28th, 1.15 pm until 2.45 pm, SR15, 3rd floor, OMP1
Abstract:
After recalling a number of basic notions from convex analysis (maximal monotone operators, subdifferentials), I will focus on some mathematical aspects of evolutionary partial differential equations characterized by the presence of singular (i.e., very fastly growing) terms. I will discuss existence of solutions, regularity properties, uniqueness (or non-uniqueness), and long-time behavior.
Moreover, I will try to illustrate the theory by applying the results to some specific problems related to physical models from the theory of phase transitions.