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Exact Boundary Observability and Controllability of the Wave Equation in an Interval with two Moving Endpoints. (arXiv:1803.08254v1 [math.AP])
来源于:arXiv
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. 查看全文>>