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On the boundary value problem in a dihedral angle for normally hyperbolic systems of first order

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Georgian Mathematical Journal

Abstract

Some structural properties as well as a general three-dimensional boundary value problem for normally hyperbolic systems of partial differential equations of first order are studied. A condition is given which enables one to reduce the system under consideration to a first-order system with the spliced principal part. It is shown that the initial problem is correct in a certain class of functions if some conditions are fulfilled.

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Authors and Affiliations

  1. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., 380093, Tbilisi, Georgia

    O. Jokhadze

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  1. O. Jokhadze
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Jokhadze, O. On the boundary value problem in a dihedral angle for normally hyperbolic systems of first order. Georgian Math J 5, 121–138 (1998). https://doi.org/10.1007/BF02767992

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  • DOI: https://doi.org/10.1007/BF02767992

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