Email this article Well-Posedness of a Local Boundary Value Problem in a Cylindrical Domain for Multidimensional Hyperbolic Equations with the Wave Operator
- Authors: Aldashev S.A.1
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Affiliations:
- Abai Kazakh National Pedagogical University
- Issue: Vol 221, No 6 (2017)
- Pages: 727-736
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239086
- DOI: https://doi.org/10.1007/s10958-017-3261-3
- ID: 239086
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Abstract
We establish the unique solvability of a local boundary value problem in a cylindrical domain for multi-dimensional hyperbolic equations with the wave operator. This problem is a generalization of the Dirichlet and Poincaré problems. We prove a criterion for the uniqueness of a regular solution. Bibliography: 17 titles.
About the authors
S. A. Aldashev
Abai Kazakh National Pedagogical University
Author for correspondence.
Email: Aldash51@mail.ru
Kazakhstan, 13, Dostyk ave., Almaty, 050010
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