Source identification for the wave equation on graphs

Sergei Avdonin (1) , Serge Nicaise (2)

1 UAF - University of Alaska [Fairbanks]
2 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

We consider source identification problems for the wave equation on graphs. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of linear integral Volterra equations of the second kind and is new even for an interval.

Mots clés: boundary control; source identification; wave equation on graphs

Domaines: Mathématiques [math]

Sergei Avdonin, Serge Nicaise. Source identification for the wave equation on graphs. Inverse Problems, 2015, 31 (9), ⟨10.1088/0266-5611/31/9/095007⟩. ⟨hal-03149914⟩