@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              Abstract. We give a more elementary proof of a result by Ambrosio, Fusco and Hutchinson to estimate the Hausdorff dimension of the singular set of minimizers of the Mumford-Shah energy (see [2, Theorem 5.6]). On the one hand, we follow the strategy of the above mentioned paper; but on the other hand our analysis greatly simplifies the argument since it relies on the compactness result proved by the first two Authors in [4, Theorem 13] for sequences of local minimizers with vanishing gradient energy, and the regularity theory of minimal Caccioppoli partitions, rather than on the corresponding results for Almgren's area minimizing sets.
            """ ;
    dct:identifier "hal-00958883" ;
    dct:issued "2026-05-06T00:21:10.999249"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-06T00:21:10.999253"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A NOTE ON THE HAUSDORFF DIMENSION OF THE SINGULAR SET FOR MINIMIZERS OF THE MUMFORD-SHAH ENERGY" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
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    dcat:keyword "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00958883> .

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    dct:issued "2026-05-06T00:21:11.007843"^^xsd:dateTime ;
    dct:modified "2026-05-06T00:21:10.993591"^^xsd:dateTime ;
    dct:title "A NOTE ON THE HAUSDORFF DIMENSION OF THE SINGULAR SET FOR MINIMIZERS OF THE MUMFORD-SHAH ENERGY" ;
    dcat:accessURL <https://hal.science/hal-00958883> .

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<https://hal.science/hal-00958883> a foaf:Document .