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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)
Full Text: Numdam EuDML