On L p -estimates for hyperbolic systems

Jiří Kopáček

Czechoslovak Mathematical Journal (1973)

  • Volume: 23, Issue: 3, page 419-436
  • ISSN: 0011-4642

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Kopáček, Jiří. "On $L_p$-estimates for hyperbolic systems." Czechoslovak Mathematical Journal 23.3 (1973): 419-436. <http://eudml.org/doc/12738>.

@article{Kopáček1973,
author = {Kopáček, Jiří},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {419-436},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $L_p$-estimates for hyperbolic systems},
url = {http://eudml.org/doc/12738},
volume = {23},
year = {1973},
}

TY - JOUR
AU - Kopáček, Jiří
TI - On $L_p$-estimates for hyperbolic systems
JO - Czechoslovak Mathematical Journal
PY - 1973
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 23
IS - 3
SP - 419
EP - 436
LA - eng
UR - http://eudml.org/doc/12738
ER -

References

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  1. J. Kopâček, On L p -estimates for the Cauchy problem for hyperbolic systems, CMUC, 10, 2, 1969, 237-239. (1969) Zbl0176.40303MR0248451
  2. J. Kopâček, The Cauchy problem for linear hyperbolic systems in L p , CMUC, 8, 3, 1967, 459-462. (1967) Zbl0164.12201MR0222479
  3. J. Kopâček, On pairs of matrices with property L , CMUC, 8, 3, 1967, 453 - 457. (1967) Zbl0178.03303MR0223381
  4. P. Brenner, The Cauchy problem for systems in L p and L p , α , (to appear). MR0324249
  5. Л. A. Муравей, Задача Коши для волнового уравнения в Lp пространствах, Труды МИАН им. Стеклова, 103, 1968, 172-180. (1968) MR0274928
  6. L. Bers F. John M. Shechter, Уравнения с частными производными, Москва, Мир, 1966. (1966) 
  7. L. Hörmander, Estimates for translation invariant operators in L p -spaces, Acta math., 104, 1960,93-140. (1960) Zbl0093.11402MR0121655
  8. A. Zymund, Тригонометрические ряды, II., Москва, Мир, 1965. (1965) 
  9. Т. S. Motzkin О. Taussky, Pairs of matrices with property L II, TAMS, 80, 1955, 387-401. (1955) Zbl0067.25401MR0086781
  10. P. Brenner, The Cauchy problem for symmetric hyperbolic systems in L p , Math. Scand., 19, 1966, 27-37. (1966) Zbl0154.11304MR0212427
  11. L. Hörmander, Линейные дифференциальные операторы с частными производными, Москва, Мир, 1965. (1965) 
  12. S. G. Michlin, О multiplikatorach integralov Furje, DAN SSSR, 109, 1956, 701-703. (1956) 
  13. А. P. Calderón, Lebesgue spaces of differentiable functions and distributions, Proc. of symposia in pure mathematik, vol. 4. Partial diff equations, Providence, 1961 Zbl0195.41103
  14. E. Stein, 10.1090/S0002-9947-1956-0082586-0, TAMS, 83, 1956, 482-492. (1956) Zbl0072.32402MR0082586DOI10.1090/S0002-9947-1956-0082586-0
  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. (1960) Zbl0098.29702
  16. J. Nečas, Les méthodes directes en théorie des équations elliptic, Praha, Academia, 1967. (1967) 

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