| Title:
|
Damped wave equations and the heat equation (English) |
| Author:
|
Fulks, Watson |
| Author:
|
Guenther, Ronald B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
1971 |
| Pages:
|
683-695 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35.76 |
| idZBL:
|
Zbl 0237.35040 |
| idMR:
|
MR0288428 |
| DOI:
|
10.21136/CMJ.1971.101069 |
| . |
| Date available:
|
2008-06-09T13:54:46Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101069 |
| . |
| Reference:
|
[1] C. Cattaneo: Sulla conduzione del calore.Atti Sem. Mat. Fis. Univ. Modena 3 (1948) p. 3-21 and 3 (1949) p. 83-101. MR 0032898 |
| Reference:
|
[2] C. Cattaneo: Sur une forme de l'equation de la chaleur eliminant le paradoxe d'une propagation instantanée.C. R. Acad. Sci. Paris 247 (1958) p. 431 - 433. MR 0095680 |
| Reference:
|
[3] R. Courant, D. Hilbert: Methods of Mathematical Physics.V. II. Interscience, New York, 1962. Zbl 0099.29504 |
| Reference:
|
[4] A. Erdélyi, al: Higher Transcendental Functions V.2. McGraw-Hill, New York, 1953. |
| Reference:
|
[5] J. Hadamard: Lectures on Cauchy's Problem in Linear Partial Differential Equations.Dover, New York, 1952. Zbl 0049.34805 |
| Reference:
|
[6] M. Kopáčková-Suchá: On the weakly nonlinear wave equation involving a small parameter at the highest derivative.Czechoslovak Math. J. 19 (94), (1969) p. 469-491. MR 0274971 |
| Reference:
|
[7] P. Vernotte: Les paradoxes de la theorie continue de l'equation de la chaleur.С. R. Acad. Sci., Paris 246, (1958). MR 0095679 |
| Reference:
|
[8] M. Zlámal: Über das gemischte Problem für eine hyperbolische Gleichung, mit kleinem Parameter.Czechoslovak Math. J. 9 (84), (1959) p. 218-244. (Russian. German summary.) MR 0115020 |
| Reference:
|
[9] M. Zlámal: Sur l'équation des telegraphistes avec un petit paramètre.Att. Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. (8) 27 (1959) p. 324- 332. Zbl 0108.28304, MR 0115021 |
| Reference:
|
[10] M. Zlámal: The mixed problem for hyperbolic equations with a small parameter.Czechoslovak Math. J. 10 (85), (1960) p. 83-122. (Russian. English summary.) MR 0147779 |
| Reference:
|
[11] M. Zlámal: The parabolic equations as a limiting case of hyperbolic and elliptic equations.Differential Equations and Their Applications (Proc. Conf., Prague, 1962) p. 243-247. Publ. House Czechoslovak Acad. Sci., Prague; Academic Press, New York, 1963. MR 0177213 |
| . |
