Naslov
Friedrichs operators as dual pairs

Autori
Antonić, Nenad ; Erceg, Marko ; Michelangeli, Alessandro

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts of the 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019) / Eberhardsteiner, Josef ; Schöberl, Joachim - Beč, 2019, 560-560

Skup
90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2019)

Mjesto i datum
Beč, Austrija, 18.02.2019. - 22.02.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Abstract Friedrichs systems ; Point interaction Hamiltonians ; Grubb extension theory

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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