Upcoming Events
Analysis Seminar: Variational Problems with Gradient and Pointwise Constraints
Feb 13, 2026, 11:30 AM - 12:30 PM
Speaker: Carlos Rautenberg, GMU
Title: Variational Problems with Gradient and Pointwise Constraints
Abstract: We consider a class of variational problems involving partial differential operators on non-standard vector-valued measure spaces with divergences (represented by measures or by functions) and with mixed boundary conditions. This class of problems arise from the study of the growth of heterogeneous sandpiles via (Fenchel) duality. The mixed boundary conditions are realized by means of a normal trace characterization of the vectorial measure that extends the notion of the Sobolev trace. We determine existence of solutions, stability, and finalize the talk with numerical tests.
Date/Time: Friday, February 13, 11:30am
Location: Exploratory Hall, Room 4106 or Zoom