日時: 2023年9月1日(金) 16時30分〜18時00分
Date&time: September 1, 2023 (Fri.) 16:30--18:00
講演者(Speaker): Samuel Mercer (Delft University of Technology)
題目(Title): Uniform Convergence of Gradient Flows on a stack of Banach Spaces
概要(abstract):
Within this talk I will recall the classical result: Given a sequence of convex functionals on a Hilbert space, Gamma-convergence of this sequence Implies uniform convergence on finite time-intervals for their gradient flows. I will then discuss a generalisation for this result. In particular our functionals are defined on a sequence of distinct Banach spaces that can be stacked together inside of a unifying space. We will study a kind of gradient flow for our functionals inside their respective Banach space and ask the following question. What structure is necessary within our unifying space to attain uniform convergence of gradient flows?