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Asymptotic behavior of solution of hyperbolic problems on a cylindrical domain

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  • The asymptotic behavior of the hyperbolic evolution problems of order two, on a cylindrical domain $\Omega$ = $\Delta \times \omega$, with coefficients dependent on a parameter is examined. The convergence of the solution of such problems towards a solution of a problem of the same type defined in $\omega$ is proved, and the rate of convergence estimates is given. One can see this work as a singular perturbation of the hyperbolic problems in some directions.
    Mathematics Subject Classification: Primary: 35L15, 35L20, 35B40, 35B25.

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