Email this article Well-Posedness of Dirichlet and Poincaré Problems in a Cylindrical Domain for Degenerate Multidimensional Hyperbolic Equations with Gellerstedt Operator
- Authors: Aldashev S.A.1
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Affiliations:
- Abai Kazakhstan National Pedagogic University
- Issue: Vol 215, No 3 (2016)
- Pages: 274-284
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237581
- DOI: https://doi.org/10.1007/s10958-016-2837-7
- ID: 237581
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Abstract
We prove that the Dirichlet and Poincar´e problems for degenerate multidimensional hyperbolic equations with Gellerstedt operator in a cylindrical domain are uniquely solvable and establish a criterion of uniqueness for the regular solutions of these problems.
About the authors
S. A. Aldashev
Abai Kazakhstan National Pedagogic University
Author for correspondence.
Email: aldash51@mail.ru
Kazakhstan, Tolebi Str. 86, Almaty, 050012
