Abstract
The excitation of scalar and elastic waves by stationary sources is considered. The method of the boundary layer is used. Construction of higher-order approximations is discussed.
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Literature cited
S. M. Rytov, “Modulated oscillations and waves,” Tr. Fiz. Inst. Akad. Nauk,2, No. 1, 40–133 (1940).
G. B. Whitham, Linear and NonLinear Waves, Wiley (1974).
Yu. I. Orlov, “Space — time diffraction of impulses,” in: Direct and Inverse Diffraction Problems Lin Russian], Moscow (1979), pp. 5–144.
J. Hadamard, The Cauchy Problem for Linear Partial Differential Equations of Hyperbolic Type [in Russian], Moscow (1978).
V. M. Babich and N. Ya. Kirpichnikova, The Method of the Boundary Layer in Diffraction Problems [in Russian], Leningrad (1974).
A. P. Kiselev, “On high-frequency point sources in inhomogeneous, Isotropic elastic media,” Doki. Akad. Nauk SSSR,219, No. 4, 829–831 (1974).
A. P. Kiselev, “On the initial data for ray formulas describing fields of point sources in inhomogeneous elastic media,” Vopr. Din. Teorii Raspr. Seism. Voln.,15, 6–27 (1975).
N. Bourbaki, Functions of a Real Variable [in Russian], Moscow (1965).
V. M. Babich, “On the space-time ray method in the theory of elastic waves,” Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 2, 3–13 (1979).
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 104, pp. 111–122, 1981.
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Kiselev, A.P. Excitation of modulated oscillations in inhomogeneous media. J Math Sci 20, 1818–1825 (1982). https://doi.org/10.1007/BF01119364
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DOI: https://doi.org/10.1007/BF01119364