×

Sur les équations hyperboliques avec des coefficients qui ne dependent que du temps. (French) Zbl 0417.35049


MSC:

35L15 Initial value problems for second-order hyperbolic equations
35L10 Second-order hyperbolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B45 A priori estimates in context of PDEs
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] F. Colombini - S. Spagnolo , On the convergence of solutions of hyperbolic equations , Comm. Partial Differential Equations , 3 ( 1978 ), pp. 77 - 103 . MR 493117 | Zbl 0375.35034 · Zbl 0375.35034 · doi:10.1080/03605307808820061
[2] L. De Simon - G. Torelli , Linear second order differential equations with discontinuous coefficients in Hilbert spaces , Ann. Scuola Norm. Sup. Pisa , 1 ( 1974 ), pp. 131 - 154 . Numdam | MR 388168 | Zbl 0318.35055 · Zbl 0318.35055
[3] J.M. Gelfand - G.E. Shilov , Generalized functions , vol. II et III , Academic Press , New York , 1967 (édition originelle: Moscou , 1958 ). Zbl 0355.46017 · Zbl 0355.46017
[4] A.E. Hurd - D.H. Sattinger , Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients , Trans. Amer. Math. Soc. , 132 ( 1968 ), pp. 159 - 174 . MR 222457 | Zbl 0155.16401 · Zbl 0155.16401 · doi:10.2307/1994888
[5] J.L. Lions , Equations différentielles opérationnelles et problèmes aux limites , Springer , Berlin , 1961 . MR 153974 | Zbl 0098.31101 · Zbl 0098.31101
[6] J.L. Lions - E. Magenes , Problèmes aux limites non homogènes et applications , Dunod , Paris , 1968 . Zbl 0165.10801 · Zbl 0165.10801
[7] A. Martineau , Sur les fonctionnelles analytiques et la transformation de Fourier-Borel , J. Analyse Math. , 11 ( 1963 ), pp. 1 - 164 . MR 159220 | Zbl 0124.31804 · Zbl 0124.31804 · doi:10.1007/BF02789982
[8] W.T. Reid , On the approximation of integrable functions by functions of bounded variation , Ann. Scuola Norm. Sup. Pisa , 14 ( 1960 ), pp. 133 - 140 . Numdam | MR 126514 | Zbl 0097.27503 · Zbl 0097.27503
[9] C. Roumieu , Sur quelques extensions de la notion de distributions , Ann. Sci. École Norm. Sup. , 77 ( 1960 ), pp. 47 - 121 . Numdam | MR 121643 | Zbl 0104.33403 · Zbl 0104.33403
[10] C. Roumieu , Ultradistributions définies sur Rn et sur certaines classes de variétés différentiables , J. Analyse Math. , 10 ( 1962 -63), pp. 153 - 192 . MR 158261 | Zbl 0122.34802 · Zbl 0122.34802 · doi:10.1007/BF02790307
[11] F. Treves , Basic linear partial differential equations , Academic Press , New York , 1975 . MR 447753 | Zbl 0305.35001 · Zbl 0305.35001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.