Damped wave equations and the heat equation

Watson Fulks; Ronald B. Guenther

Czechoslovak Mathematical Journal (1971)

  • Volume: 21, Issue: 4, page 683-695
  • ISSN: 0011-4642

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Fulks, Watson, and Guenther, Ronald B.. "Damped wave equations and the heat equation." Czechoslovak Mathematical Journal 21.4 (1971): 683-695. <http://eudml.org/doc/12632>.

@article{Fulks1971,
author = {Fulks, Watson, Guenther, Ronald B.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {683-695},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Damped wave equations and the heat equation},
url = {http://eudml.org/doc/12632},
volume = {21},
year = {1971},
}

TY - JOUR
AU - Fulks, Watson
AU - Guenther, Ronald B.
TI - Damped wave equations and the heat equation
JO - Czechoslovak Mathematical Journal
PY - 1971
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 21
IS - 4
SP - 683
EP - 695
LA - eng
UR - http://eudml.org/doc/12632
ER -

References

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  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. (1958) MR0095680
  3. R. Courant, D. Hilbert, Methods of Mathematical Physics, V. II. Interscience, New York, 1962. (1962) Zbl0099.29504
  4. A. Erdélyi, al, Higher Transcendental Functions V, 2. McGraw-Hill, New York, 1953. (1953) 
  5. J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Dover, New York, 1952. (1952) Zbl0049.34805
  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. (1969) MR0274971
  7. P. Vernotte, Les paradoxes de la theorie continue de l'equation de la chaleur, С. R. Acad. Sci., Paris 246, (1958). (1958) MR0095679
  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.) (1959) MR0115020
  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. (1959) Zbl0108.28304MR0115021
  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.) (1960) MR0147779
  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. (1962) MR0177213

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