Pregled bibliografske jedinice broj: 137448
On certain properties of spaces of locally Sobolev functions
On certain properties of spaces of locally Sobolev functions // Applied Mathematics and Scientific Computing / Marušić, Miljenko et al. (ur.).
Zagreb: Matematički odsjek Prirodoslovno-matematičkog fakulteta Sveučilišta u Zagrebu, 2003. str. 11-11 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
On certain properties of spaces of locally Sobolev functions
Autori
Antonić, Nenad ; Burazin, Krešimir
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Applied Mathematics and Scientific Computing
/ Marušić, Miljenko et al. - Zagreb : Matematički odsjek Prirodoslovno-matematičkog fakulteta Sveučilišta u Zagrebu, 2003, 11-11
Skup
Applied Mathematics and Scientific Computing
Mjesto i datum
Brijuni, Hrvatska, 23.06.2003. - 27.06.2003
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
locally Sobolev functions
Sažetak
In recent years the locally Sobolev functions got quite popular in works on applications of partial differential equations. However, the properties of those spaces have not been systematically studied and proved in the literature, resulting in many particular proofs by reduction to classical Sobolev spaces. Following some hints of general theory scattered through classical literature (where famous authors probably new the properties, but never found the time to write them down), as well as some proofs of special cases (namely, the Hilbert case), we systematically present the main results regarding the properties of $\rm W ^{;m, p}; _{;loc};$ spaces, their duality, imbedings, density, weak topologies, etc., with particular emphasis to application in studying partial differential equations of mathematical physics.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
