Applied Analysis

Seminar information archive ~03/04Next seminarFuture seminars 03/05~

Date, time & place Thursday 16:00 - 17:30 002Room #002 (Graduate School of Math. Sci. Bldg.)

2023/09/14

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Michał Łasica (The Polish Academy of Sciences)
Bounds on the gradient of minimizers in variational denoising (English)
[ Abstract ]
We consider minimization problem for a class of convex integral functionals composed of two terms:
-- a regularizing term of linear growth in the gradient,
-- and a fidelity term penalizing the distance from a given function.
To ensure that such functionals attain their minima, one needs to extend their domain to the BV space. In particular minimizers may exhibit jump discontinuities. I will discuss estimates on the gradient of minimizers in terms of the data, focusing on singular part of the gradient measure.
The talk is based on joint works with P. Rybka, Z. Grochulska and A. Chambolle.
[ Reference URL ]
https://forms.gle/C39ZLdQNVHyVmJ4j8