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On the grobal existence of classical solutions of second order fully hyperbolic equations with first order dissipation in the exterior domain
In this paper, we establish global existence and uniqueness theo- rems of solutions of second order fully nonlinear hyperbolic equations with first order dissipation in the exterior domain, in the case that data are sufficiently small and smooth and that the space dimension $n\geqq 3$ .Furthermore, we investigate some decay …