Abstract
An asymptotic expansion of the fundamental solution of the Cauchy problem for a linear hyperbolic equation containing a large parameter is constructed in this paper. The coefficients of the equation are assumed to be infinitely differentiable. The expansion obtained admits termwise differentiation.
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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 93–101, 1981.
The author wishes to thank V. M. Babich for posing the problem and for his constant attention to the work.
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Danilov, Y.P. Asymptotics of the fundamental solution of the cauchy problem for a hyperbolic equation of second order containing a large parameter. J Math Sci 20, 1806–1811 (1982). https://doi.org/10.1007/BF01119362
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DOI: https://doi.org/10.1007/BF01119362