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On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points. (English) Zbl 1167.35407

Summary: The purpose of this paper is to study the asymptotic behavior of solutions of the first initial boundary value problem for hyperbolic systems in an infinite cylinder with the base containing conical points. Some results on the asymptotics of the solutions of an elliptic problem depending on a parameter are given.

MSC:

35L20 Initial-boundary value problems for second-order hyperbolic equations
35L05 Wave equation
35C20 Asymptotic expansions of solutions to PDEs
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