Geodesic
Research of a threshold (correlation) method and application for localization of singularities
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 829-848

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The localization of singularities for functions of one ($\delta$-functions and discontinuities of the first kind) and two (line of discontinuity) dimensions is discussed. General scheme of the study of this ill-posed problems is presented. Using this scheme new problems of localization of singularities are investigated.
Keywords: ill-posed problems, discontinuities of the first kind, line of discontinuity, localization of singularities, regularizing method, separation threshold. 
@article{SEMR_2016_13_a104,
     author = {D. V. Kurlikovskii and A. L. Ageev and T. V. Antonova},
     title = {Research of a threshold (correlation) method and application for localization of singularities},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {829--848},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a104/}
}
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D. V. Kurlikovskii; A. L. Ageev; T. V. Antonova. Research of a threshold (correlation) method and application for localization of singularities. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 829-848. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a104/