Wave equation with a concentrated moving source

Vladimír B. Kameń

Applications of Mathematics (1991)

  • Volume: 36, Issue: 3, page 181-186
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Kameń, Vladimír B.. "Wave equation with a concentrated moving source." Applications of Mathematics 36.3 (1991): 181-186. <http://eudml.org/doc/15672>.

@article{Kameń1991,
abstract = {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.},
author = {Kameń, Vladimír B.},
journal = {Applications of Mathematics},
keywords = {Cauchy problem; Dirac delta function; complex variables; Cauchy problem; Dirac delta function; complex variables},
language = {eng},
number = {3},
pages = {181-186},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Wave equation with a concentrated moving source},
url = {http://eudml.org/doc/15672},
volume = {36},
year = {1991},
}

TY - JOUR
AU - Kameń, Vladimír B.
TI - Wave equation with a concentrated moving source
JO - Applications of Mathematics
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 36
IS - 3
SP - 181
EP - 186
AB - 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.
LA - eng
KW - Cauchy problem; Dirac delta function; complex variables; Cauchy problem; Dirac delta function; complex variables
UR - http://eudml.org/doc/15672
ER -

References

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  1. W. Nowacki, The theory of elasticity, (Russian). Moscow, 1975. (1975) Zbl0385.73007
  2. T. D. Lee, Mathematical methods in Physics, (Russian). Moscow, 1965. (1965) MR0192677
  3. A. T. De Hoop, 10.1007/BF02920068, Appl. Sd. Res. Sect. B, vol. 8 (1960), 4, 349-356. (1960) Zbl0100.44208DOI10.1007/BF02920068
  4. A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev, Integrals and series. Special functions, (Russian). Moscow, 1983. (1983) 
  5. A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev, Integrals and series. Elementary functions, (Russian). Moscow, 1981. (1981) 
  6. V. B. Poruchikov, The methods of elastodynamics, (Russian). Moscow, 1986. (1986) 
  7. V. A. Ditkin A. P. Prudnikov, Integral transforms and operational calculus, (Russian). Moscow, 1961. (1961) MR0481946
  8. I. M. Gelfand G. E. Shilov, Generalized functions and operations with them. Vol. 1, (Russian). Moscow, 1959. (1959) 

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