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arxiv: 1309.4600 · v1 · pith:MGXHVAWInew · submitted 2013-09-18 · 🧮 math.AP

Control problems for weakly coupled systems with memory

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keywords controlcoupledmemoryproblemssystemstheoryableacoustic
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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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