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Quelques résultats de non résolubilité locale pour des équations hyperboliques. (Some results on local solvability of hyperbolic equations). (French) Zbl 0647.35049
Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1987, Exp. No. 8, 10 p. (1987).
The author considers operators of the form $P=\partial^ 2/\partial t^ 2-(\partial /\partial x)(a(t,x)\partial /\partial x)$ under the hypothesis of weak hyperbolicity a(t,x)$$\geq 0.$$
The question of local solvability of this operator is posed. The results are obtained in collaboration with S. Spagnolo and will be published with detailed demonstrations elsewhere.
##### MSC:
 35L10 Second-order hyperbolic equations 35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
##### Keywords:
weak hyperbolicity; local solvability
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