| Title:
|
Wave equation with a concentrated moving source (English) |
| Author:
|
Kameń, Vladimír B. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
181-186 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Cauchy problem |
| Keyword:
|
Dirac delta function |
| Keyword:
|
complex variables |
| MSC:
|
35C05 |
| MSC:
|
35D05 |
| MSC:
|
35L05 |
| idZBL:
|
Zbl 0735.35031 |
| idMR:
|
MR1109123 |
| DOI:
|
10.21136/AM.1991.104458 |
| . |
| Date available:
|
2008-05-20T18:41:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104458 |
| . |
| Reference:
|
[1] W. Nowacki: The theory of elasticity.(Russian). Moscow, 1975. Zbl 0385.73007 |
| Reference:
|
[2] T. D. Lee: Mathematical methods in Physics.(Russian). Moscow, 1965. MR 0192677 |
| Reference:
|
[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. Zbl 0100.44208, 10.1007/BF02920068 |
| Reference:
|
[4] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: Integrals and series. Special functions.(Russian). Moscow, 1983. |
| Reference:
|
[5] A. P. Prudnikov, Yu. A. Brychkov O. A. Marichev: Integrals and series. Elementary functions.(Russian). Moscow, 1981. |
| Reference:
|
[6] V. B. Poruchikov: The methods of elastodynamics.(Russian). Moscow, 1986. |
| Reference:
|
[7] V. A. Ditkin A. P. Prudnikov: Integral transforms and operational calculus.(Russian). Moscow, 1961. MR 0481946 |
| Reference:
|
[8] I. M. Gelfand G. E. Shilov: Generalized functions and operations with them. Vol. 1.(Russian). Moscow, 1959. |
| . |
