Connecting classical and abstract theory of Friedrichs systems via trace operator (CROSBI ID 172435)
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Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
engleski
Connecting classical and abstract theory of Friedrichs systems via trace operator
Based on recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern, Guermond and Caplain (2007), as well as Antoni\'c and Burazin (2010), we continue our efforts to relate these results to the classical Friedrichs theory. Following the approach via the trace operator, we extend the results of Antoni\'c and Burazin (2011) to situations where the important boundary field does not consist only of projections, allowing the treatment of hyperbolic equations, besides the elliptic ones.
symmetric positive system ; first-order system of partial differential equations ; boundary operator ; trace operator
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