Abstract
We construct asymptotic expansions of solutions of the Cauchy problem with rapidly oscillating initial data for hyperbolic systems with constant coefficients and with characteristics of a variable multiplicity. By way of example, we consider the system of Maxwell equations.
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Original Russian Text © I.N. Shchitov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 5, pp. 670–679.
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Shchitov, I.N. Short-wave asymptotics of solutions of the Cauchy problem for hyperbolic systems with constant coefficients and with characteristics of variable multiplicity. Diff Equat 50, 667–676 (2014). https://doi.org/10.1134/S0012266114050097
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DOI: https://doi.org/10.1134/S0012266114050097