Laboratoire IMATH

Institut de Mathématiques de Toulon (EA 2134)

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Séminaire de Adolfo Arroyo Rabasa (Université catholique de Louvain, Institut de Recherche en Mathématique et Physique)

Séminaire MN-AA
Jeudi 07/04/22, 14h, salle M003

Representation of the total variation as a Γ-limit of BMO-type seminorms

Abstract : I will discuss a question raised by Ambrosio, Bourgain, Brezis, and Figalli, on the approximation of the BV-total variation by BMO-type seminorms. In this vein, I will also discuss a new Rellich-type compactness result that stems from the boundedness BMO-type seminorms. If time permits, I will also share a challenging open problem that arises naturally from the setting introduced by Ambrosio et al. This is joint work with Paolo Bonicatto and Giacomo Del Nin.

Séminaire de Adolfo Arroyo Rabasa (Université catholique de Louvain, Institut de Recherche en Mathématique et Physique)