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Exact Boundary Observability and Controllability of the Wave Equation in an Interval with two Moving Endpoints (1803.08254v1)
Published 22 Mar 2018 in math.AP and math.FA
Abstract: We study the wave equation in an interval with two linearly moving endpoints. We give the exact solution by a series formula, then we show that the energy of the solution decay at the rate $1/t$. We also establish observability results, at one or two endpoints, in a sharp time. Moreover, using the Hilbert uniqueness method, we derive exact boundary controllability results.
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