Friedrichs operators as dual pairs (CROSBI ID 673903)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Antonić, Nenad ; Erceg, Marko ; Michelangeli, Alessandro
engleski
Friedrichs operators as dual pairs
The Friedrichs (1958) theory of positive symmetric systems of first order partial differential equations encompasses many standard equations of mathematical physics, irrespective of their type. This theory was recast in an abstract Hilbert space setting by Ern, Guermond and Caplain (2007), and by Antonić and Burazin (2010). In this work we make a further step, presenting a purely operator-theoretic description of abstract Friedrichs systems via the universal operator extension theory of dual pairs (Grubb, 1968). For a given Friedrichs system the existence of a boundary condition such that the problem is well-posed is shown, as well as a classification of all such boundary conditions.
Abstract Friedrichs systems ; Point interaction Hamiltonians ; Grubb extension theory
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Podaci o prilogu
560-560.
2019.
objavljeno
Podaci o matičnoj publikaciji
Book of Abstracts of the 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019)
Eberhardsteiner, Josef ; Schöberl, Joachim
Beč:
Podaci o skupu
90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019)
predavanje
18.02.2019-22.02.2019
Beč, Austrija