Pregled bibliografske jedinice broj: 622230
Heat equation as a Friedrichs system
Heat equation as a Friedrichs system // Journal of mathematical analysis and applications, 404 (2013), 2; 537-553 doi:10.1016/j.jmaa.2013.03.023 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 622230 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Heat equation as a Friedrichs system
Autori
Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
Izvornik
Journal of mathematical analysis and applications (0022-247X) 404
(2013), 2;
537-553
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric positive system ; initial boundary value problem ; second-order parabolic equation
Sažetak
Inspired by recent advances in the theory of (Friedrichs) symmetric positive systems, we apply newly developed results to the heat equation, by showing how the intrinsic theory of Ern, Guermond and Caplain (2007) can be used in order to get a well-posedness result for the Dirichlet initial boundary value problem. We also demonstrate the application of the two-field theory with partial coercivity of Ern and Guermond (2008), originally developed for elliptic problems, and also discuss different possibilities for the construction of appropriate boundary operator.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372787-2795 - Titrajuća rješenja parcijalnih diferencijalnih jednadžbi (Antonić, Nenad, MZOS ) ( CroRIS)
MZOS-037-1193086-3226 - Matematičko modeliranje geofizičkih pojava (Vrdoljak, Marko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
