Averaged observability (CROSBI ID 606272)
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Lazar, Martin ; Zuazua, Enrique
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.
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Podaci o skupu
New Trends in Calculus of Variations and Partial Differential Equations
poster
21.11.2013-23.11.2013
Napulj, Italija