Abstract
We consider a mixed initial-boundary value problem for a multidimensional (with respect to the space variables) hyperbolic equation with a nonlocal boundary condition containing an integral of the desired solution. We prove the unique solvability of the problem in the space W 12 .
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Original Russian Text © L.S. Pul’kina, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 8, pp. 1084–1089.
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Pul’kina, L.S. Initial-boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation. Diff Equat 44, 1119–1125 (2008). https://doi.org/10.1134/S0012266108080090
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DOI: https://doi.org/10.1134/S0012266108080090