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math.OC2026
Observability as a constraint qualification for a nonsmooth bilevel PDE-constrained problem
Christian Clason, Alberto Domínguez Corella, Jyrki Jauhiainen
Motivated by experiment design for parameter identification in image reconstruction, we analyze a bilevel control problem involving sparse inversion at the lower level. Qualified o…
math.AP2026
Orlicz space relaxation of total variation denoising
Christian Clason, Tobias Unterberger
We consider variational image denoising with spatially dependent Orlicz regularization and introduce an Orlicz--Sobolev approximation of the ROF model based on a scaled -t…