The article considers uniqueness of the finite-energy generalized solution of the mixed boundary-initial value problem for a wave equation with elastic clamping. Excitation and relaxation problems for the wave process are solved analytically. The results are applied to solve the problem of boundary optimal control of the wave process.
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References
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Translated from Nelineinaya Dinamika i Upravlenie, No. 5, pp. 141–148, 2006.
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E. I. Moiseev, V. V. Tikhomirov. A finite-energywave process with given boundary conditions at one end and elastic clamping at the other end. Comput Math Model 21, 320–326 (2010). https://doi.org/10.1007/s10598-010-9073-7
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DOI: https://doi.org/10.1007/s10598-010-9073-7