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Heat equation as a Friedrichs system


Antonić, Nenad; Burazin, Krešimir; Vrdoljak, Marko
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)


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


Projekt / tema
037-0372787-2795 - Titrajuća rješenja parcijalnih diferencijalnih jednadžbi (Nenad Antonić, )
037-1193086-3226 - Matematičko modeliranje geofizičkih pojava (Marko Vrdoljak, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

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


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