Tuong Ha-Duong

- We consider the problem of identification of a heat source in a bounded domain Ω. Assuming that the point sources became inactive after the time T∗, we prove that they can be identified by measurements of the heat flux on Γ₀ × (0, T), where Γ₀ is a part of the boundary of Ω, with non void interior, and T > T∗. By a standard trandformation, we derive from these results a method to identify the polluting sources on the surface of a river, a lake . . .

This paper is concerned with an inverse point wave sources problem in a bounded domain Ω⊂³ from boundary observations. Assuming that all point sources vanish after a certain time T₁, we prove first an identifiability result provided that some condition is satisfied between the time T₁, the observation interval (0,T) and the observation domain on the boundary. This condition is reduced to the inequality T>T₁ + diam(Ω) when the observation domain is the whole boundary of Ω. In this case, we propose a method to identify completely the sources: their number, locations and intensities.