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math.AP2025
Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications
Yoshikazu Giga, MichaÅ Åasica, 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…
math.AP2025
Euler-Lagrange equations for variable-growth total variation
Wojciech Górny, MichaÅ Åasica, 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…