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Opérateur hyperbolique à coefficients indépendants du temps sur une variété non compacte. (French) Zbl 0612.35078

The author considers the linear second order hyperbolic equation with the time independent coefficients on the manifold \({\mathbb{R}}\times V\) and by means of the Laplace transform he reduces this equation to the elliptic equation with a large parameter on V; the latter equation was investigated in his previous article [ibid., VI. Ser., B 2, 139-157 (1983; Zbl 0558.58026)]. The author assumes that V is the asymptotically Euclidean noncompact Riemannian manifold.
Reviewer: V.Ivrij

MSC:

35L10 Second-order hyperbolic equations
58J45 Hyperbolic equations on manifolds

Citations:

Zbl 0558.58026
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