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Control problems for weakly coupled systems with memory
Authors:Paola Loreti  Daniela Sforza
Affiliation:Dipartimento di Scienze di Base e Applicate per l''Ingegneria Sezione di Matematica, Sapienza Università di Roma, Via Antonio Scarpa 16, 00161 Roma, Italy
Abstract:We investigate control problems for wave–Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type estimates, and hence reachability results. Our findings have applications in viscoelasticity theory and linear acoustic theory.
Keywords:42A38   45K05   93C20
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