| Title:
|
On $L_p$-estimates for hyperbolic systems (English) |
| Author:
|
Kopáček, Jiří |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
23 |
| Issue:
|
3 |
| Year:
|
1973 |
| Pages:
|
419-436 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L40 |
| idZBL:
|
Zbl 0268.35063 |
| idMR:
|
MR0316904 |
| DOI:
|
10.21136/CMJ.1973.101184 |
| . |
| Date available:
|
2008-06-09T14:02:59Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101184 |
| . |
| Reference:
|
[1] J. Kopâček: On $L\sb{p}$-estimates for the Cauchy problem for hyperbolic systems.CMUC, 10, 2, 1969, 237-239. MR 0248451 |
| Reference:
|
[2] J. Kopâček: The Cauchy problem for linear hyperbolic systems in $L\sb{p}$.CMUC, 8, 3, 1967, 459-462. MR 0222479 |
| Reference:
|
[3] J. Kopâček: On pairs of matrices with property $L$.CMUC, 8, 3, 1967, 453 - 457. MR 0223381 |
| Reference:
|
[4] P. Brenner: The Cauchy problem for systems in $L\sb{p}$ and $L\sb{p,\alpha}$.(to appear). MR 0324249 |
| Reference:
|
[5] Л. A. Муравей: Задача Коши для волнового уравнения в Lp пространствах.Труды МИАН им. Стеклова, 103, 1968, 172-180. MR 0274928 |
| Reference:
|
[6] L. Bers F. John M. Shechter: Уравнения с частными производными.Москва, Мир, 1966. |
| Reference:
|
[7] L. Hörmander: Estimates for translation invariant operators in $L\sb{p}$-spaces.Acta math., 104, 1960,93-140. MR 0121655 |
| Reference:
|
[8] A. Zymund: Тригонометрические ряды, II..Москва, Мир, 1965. |
| Reference:
|
[9] Т. S. Motzkin О. Taussky: Pairs of matrices with property $L$ II.TAMS, 80, 1955, 387-401. MR 0086781 |
| Reference:
|
[10] P. Brenner: The Cauchy problem for symmetric hyperbolic systems in $L\sb{p}$.Math. Scand., 19, 1966, 27-37. MR 0212427, 10.7146/math.scand.a-10793 |
| Reference:
|
[11] L. Hörmander: Линейные дифференциальные операторы с частными производными.Москва, Мир, 1965. |
| Reference:
|
[12] S. G. Michlin: О multiplikatorach integralov Furje.DAN SSSR, 109, 1956, 701-703. |
| Reference:
|
[13] А. P. Calderón: Lebesgue spaces of differentiable functions and distributions.Proc. of symposia in pure mathematik, vol. 4. Partial diff equations, Providence, 1961 |
| Reference:
|
[14] E. Stein: Interpolation of linear operators.TAMS, 83, 1956, 482-492. Zbl 0072.32402, MR 0082586, 10.1090/S0002-9947-1956-0082586-0 |
| Reference:
|
[15] K. Kasahara M. Y. Yamaguti: Strongly hyperbolic systems of partial diff. equations with constant coefficients.Mem. Coll. Sci. Univ. Kyoto, 33, 1960-1961, 1 - 24. |
| Reference:
|
[16] J. Nečas: Les méthodes directes en théorie des équations elliptic.Praha, Academia, 1967. |
| . |
