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Extension d’un theoreme de L. Garding a certaines fonctions hyperboliques. (English) Zbl 0373.35054

MSC:
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35L25 Higher-order hyperbolic equations
35S05 Pseudodifferential operators as generalizations of partial differential operators
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References:
[1] L. Gåbding , Linear hyperbolic partial differential equations with constant coefficients , Acta Matematica , 85 ( 1950 ), pp. 1 - 62 . MR 41336 · Zbl 0045.20202
[2] L. Hörmander , Linear partial differential operators , Springer Verlag , 3è ed., 1969 , voyez spécialement ch. 5, 5.5. MR 404822 | Zbl 0175.39201 · Zbl 0175.39201
[3] R. Sakamoto , E-well posedness for hyperbolic mixed problems with constant coefficients , Journal of Mathematics of Kyoto University , 14 ( 1974 ), pp. 93 - 118 . Article | MR 346333 | Zbl 0277.35071 · Zbl 0277.35071
[4] S.L. Svensson , Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part , Arkiv för Matematik , 8 , ( 1969 ), pp. 145 - 162 . MR 271538 | Zbl 0203.40903 · Zbl 0203.40903
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