Heat equation as a Friedrichs system (CROSBI ID 191521)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
engleski
Heat equation as a Friedrichs system
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.
symmetric positive system ; initial boundary value problem ; second-order parabolic equation
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Podaci o izdanju
404 (2)
2013.
537-553
objavljeno
0022-247X
10.1016/j.jmaa.2013.03.023