Boundary operator from matrix field formulation of boundary conditions for Friedrichs systems (CROSBI ID 161937)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Burazin, Krešimir
engleski
Boundary operator from matrix field formulation of boundary conditions for Friedrichs systems
Following recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern, Guermond and Caplain (2007), as well as Antonić and Burazin (2010), an attempt is made to relate these results to the classical Friedrichs theory. A comparison of two approaches, via the trace operator and the boundary operator, has been made, favouring the latter. Finally, a particular set of sufficient conditions for a boundary matrix field to define a boundary operator in that case is given, and the applicability of this procedure in realistic situations is shown by examples.
symmetric positive system; first-order system of pde's; boundary conditions; boundary operator
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Podaci o izdanju
250 (9)
2011.
3630-3651
objavljeno
0022-0396
10.1016/j.jde.2011.02.004