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Keywords:
Cauchy problem; Dirac delta function; complex variables
Cauchy problem; Dirac delta function; complex variables
Summary:
A tempered distribution which is an exact solution of the wave equation with a concentrated moving source on the right-hand side, is obtained in the paper by means of the Cagniard - de Hoop method.
References:
[1] W. Nowacki: The theory of elasticity. (Russian). Moscow, 1975. Zbl 0385.73007
[2] T. D. Lee: Mathematical methods in Physics. (Russian). Moscow, 1965. MR 0192677
[3] A. T. De Hoop: A modification of Cagniard's method for solving seismic pulse problems. Appl. Sd. Res. Sect. B, vol. 8 (1960), 4, 349-356. DOI 10.1007/BF02920068 | Zbl 0100.44208
[4] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: Integrals and series. Special functions. (Russian). Moscow, 1983.
[5] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: Integrals and series. Elementary functions. (Russian). Moscow, 1981.
[6] V. B. Poruchikov: The methods of elastodynamics. (Russian). Moscow, 1986.
[7] V. A. Ditkin A. P. Prudnikov: Integral transforms and operational calculus. (Russian). Moscow, 1961. MR 0481946
[8] I. M. Gelfand G. E. Shilov: Generalized functions and operations with them. Vol. 1. (Russian). Moscow, 1959.
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