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Kopáček, Jiří

On \(L_p\)-estimates for hyperbolic systems. (English) Zbl 0268.35063

Czech. Math. J. 23(98), 419-436 (1973).
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MSC:

35L45 Initial value problems for first-order hyperbolic systems
35B45 A priori estimates in context of PDEs
15A21 Canonical forms, reductions, classification
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\textit{J. Kopáček}, Czech. Math. J. 23(98), 419--436 (1973; Zbl 0268.35063)
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References:

[1] J. Kopâček: On \(L_{p}\)-estimates for the Cauchy problem for hyperbolic systems. CMUC, 10, 2, 1969, 237-239. · Zbl 0176.40303
[2] J. Kopâček: The Cauchy problem for linear hyperbolic systems in \(L_{p}\). CMUC, 8, 3, 1967, 459-462. · Zbl 0164.12201
[3] J. Kopâček: On pairs of matrices with property \(L\). CMUC, 8, 3, 1967, 453 - 457. · Zbl 0178.03303
[4] P. Brenner: The Cauchy problem for systems in \(L_{p}\) and \(L_{p,\alpha}\).
[5] Л. А. Муравей: Задача Коши для волнового уравнения в Lр пространствах. Труды МИАН им. Стеклова, 103, 1968, 172-180.
[6] L. Bers F. John M. Shechter: Уравнения с частными производными. Москва, Мир, 1966.
[7] L. Hörmander: Estimates for
[8] A. Zymund: Тригонометрические ряды, II. Москва, Мир, 1965.
[9] T. S. Motzkin O. Taussky: Pairs of matrices with property \(L\) II. TAMS, 80, 1955, 387-401. · Zbl 0067.25401
[10] P. Brenner: The Cauchy problem for symmetric hyperbolic systems in \(L_{p}\). Math. Scand., 19, 1966, 27-37. · Zbl 0154.11304
[11] L. Hörmander: Линейные дифференциальные операторы с частными производными. Москва, Мир, 1965.
[12] S. G. Michlin: O multiplikatorach integralov Furje. DAN SSSR, 109, 1956, 701-703.
[13] A. P. Calderón: Lebesgue spaces of differentiable functions and distributions. Proc. of symposia in pure mathematik, vol. 4. Partial diff equations, Providence, 1961 · Zbl 0195.41103
[14] E. Stein: Interpolation of linear operators. TAMS, 83, 1956, 482-492. · Zbl 0072.32402
[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. · Zbl 0098.29702
[16] J. Nečas: Les méthodes directes en théorie des équations elliptic. Praha, Academia, 1967. · Zbl 1225.35003
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