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arxiv: 1605.09655 · v2 · pith:BJAADEDCnew · submitted 2016-05-31 · 🧮 math.FA · math.AP· math.DG

Continuity results for TV-minimizers

classification 🧮 math.FA math.APmath.DG
keywords continuityresultsboundarycasescomparisonconditioncurvaturedeals
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This paper deals with continuity preservation when minimizing generalized total variation with a $L^2$ fidelity term or a Dirichlet boundary condition. We extend several recent results in the two cases, mainly by showing comparison principles for the prescribed mean curvature problem satisfied by the level-sets of such minimizers.

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