3 papers
math.AP2025
Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications
Yoshikazu Giga, Michał Łasica, Piotr Rybka
We consider the question of convergence of a sequence of gradient flows defined on different Hilbert spaces. In order to give meaning to this idea, we introduce a notion of connect…
eess.IV2025
Adaptive double-phase Rudin--Osher--Fatemi denoising model
Wojciech Górny, Michał Łasica, Alexandros Matsoukas
Even though more than 30 years have passed since the seminal Rudin--Osher--Fatemi (ROF) paper on total variation (TV) denoising, it remains relevant, in particular in scientific ap…
math.AP2025
Euler-Lagrange equations for variable-growth total variation
Wojciech Górny, Michał Łasica, Alexandros Matsoukas
We consider a class of integral functionals with Musielak-Orlicz type variable growth, possibly linear in some regions of the domain. This includes power-type integrands wit…