Control problems for weakly coupled systems with memory

2013/09/18 by Paola Loreti, Loreti, Paola, Daniela Sforza +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1309.4600

arxiv created 2013/09/18 · arxiv updated 2013/09/19

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.

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