Geodesic
Problems of two-sided boundary control for the wave equation on subcritical intervals in classes of strong generalized solutions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 192-202 Cet article a éte moissonné depuis la source Math-Net.Ru

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Problems with two-sided boundary controls of three main types are considered for the wave equation with variables coefficients. Constructive inequalities for the bounded invertibility of the control operator with known (computable) values of estimate constants are obtained in classes of strong generalized solutions on intervals of subcritical length. The obtained estimates make it possible to use the variational method for finding stable numerical solutions to the problems under consideration on time intervals of any subcritical or exactly critical length.
Keywords: wave equation, boundary control, subcritical interval, bounded invertibility inequality, variational method. 
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M. M. Potapov; D. A. Ivanov. Problems of two-sided boundary control for the wave equation on subcritical intervals in classes of strong generalized solutions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 192-202. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a19/

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