engleski

Averaged observability

We introduce and analyse the problem of recording the initial energy of a system of wave equations by observing the averaged value of the solutions on a suitable region. Depending on the form of initial data of the system, two types of results are obtained, requiring Geometrical control condition to be satisfied either for a single equation or for all of them. By using transmutation of heat processes to waves the results obtained for the wave equation are generalised to a system of heat equations.

averaged controllability; averaged observability; H-measures; transmutation

Rad je kao predavanje prezentiran i na skupu Partial Differential Equations, Optimal Design and Numerics V, održanom od 25.08-05.09.2013.g., Benasque, Španjolska.