Wave equation with a concentrated moving source
Applications of Mathematics, Tome 36 (1991) no. 3, pp. 181-186

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MR Zbl
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.
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.
DOI : 10.21136/AM.1991.104458
Classification : 35C05, 35D05, 35L05
Keywords: Cauchy problem; Dirac delta function; complex variables
Kameń, Vladimír B. Wave equation with a concentrated moving source. Applications of Mathematics, Tome 36 (1991) no. 3, pp. 181-186. doi: 10.21136/AM.1991.104458
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[1] W. Nowacki: The theory of elasticity. (Russian). Moscow, 1975. | Zbl

[2] T. D. Lee: Mathematical methods in Physics. (Russian). Moscow, 1965. | MR

[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 | Zbl

[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

[8] I. M. Gelfand G. E. Shilov: Generalized functions and operations with them. Vol. 1. (Russian). Moscow, 1959.

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