Pregled bibliografske jedinice broj: 232414
Hausdorff dimension of singular sets of Sobolev functions and maximally singular Sobolev functions
Hausdorff dimension of singular sets of Sobolev functions and maximally singular Sobolev functions // Invited lecture, Mathematical Department of the Czech Academy of Sciences (Matematicki ustav Ceske Akademii ved)
Prag, Češka Republika, 2005. (pozvano predavanje, nije recenziran, pp prezentacija, znanstveni)
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Naslov
Hausdorff dimension of singular sets of Sobolev functions and maximally singular Sobolev functions
Autori
Žubrinić, Darko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Skup
Invited lecture, Mathematical Department of the Czech Academy of Sciences (Matematicki ustav Ceske Akademii ved)
Mjesto i datum
Prag, Češka Republika, 01.12.2005. - 07.12.2005
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Sobolev space; Hausdorff dimension; box dimension; Minkowski content
Sažetak
In this invited lecture presented at the Mathematics department of the Czech Academy of Sciences (upon invitation of prof.dr. Milan Kucera), recent results of the author were presented concerning optimal estimates of Hausdorff dimension of singular sets of functions in various spaces of functions, in particular from Sobolev spaces. Methods of proof were described, involving fractal analysis (box dimension, Minkowski content, Bessel potentials, etc).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
