Cotsiolis, Athanase Opérateur hyperbolique à coefficients indépendants du temps sur une variété non compacte. (French) Zbl 0612.35078 Boll. Unione Mat. Ital., VI. Ser., A 5, 147-155 (1986). 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 Keywords:time independent coefficients; Laplace transform; large parameter; asymptotically Euclidean noncompact Riemannian manifold Citations:Zbl 0558.58026 PDFBibTeX XMLCite \textit{A. Cotsiolis}, Boll. Unione Mat. Ital., VI. Ser., A 5, 147--155 (1986; Zbl 0612.35078)