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math.AP2020★ 11 cited
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Kristian Bredies, Marcello Carioni, Silvio Fanzon
We study measure-valued solutions of the inhomogeneous continuity equation where the coefficients and are of low regularity. A ne…
math.AP2019★ 1 cited
Approximation of the Mumford-Shah Functional by Phase Fields of Bounded Variation
Sandro Belz, Kristian Bredies
In this paper we introduce a new phase field approximation of the Mumford-Shah functional similar to the well-known one from Ambrosio and Tortorelli. However, in our setting the ph…