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Harjulehto, Petteri; Hästö, Peter
Journal of mathematical analysis and applications, 09/2021, Volume: 501, Issue: 1Journal Article
In this paper we explore the potential of the double phase functional in an image processing context. To this end, we study minimizers of the double phase energy for functions with bounded variation and show that this energy can be obtained by Γ-convergence or relaxation of regularized functionals. A central tool is a capped fractional maximal function of the derivative of BV functions.
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