
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 $��$-convergence or relaxation of regularized functionals. A central tool is a capped fractional maximal function of the derivative of $BV$ functions.
J. Math. Anal. Appl., to appear
Relaxation, Gamma-convergence, ta111, Double phase, Functional Analysis (math.FA), Mathematics - Functional Analysis, Image restoration, Mathematics - Analysis of PDEs, Bounded variation, FOS: Mathematics, Fractional maximal function, Analysis of PDEs (math.AP)
Relaxation, Gamma-convergence, ta111, Double phase, Functional Analysis (math.FA), Mathematics - Functional Analysis, Image restoration, Mathematics - Analysis of PDEs, Bounded variation, FOS: Mathematics, Fractional maximal function, Analysis of PDEs (math.AP)
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