Email this article First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain
- Authors: Korzyuk V.I.1, Mandrik A.A.1
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Affiliations:
- Belarus State University
- Issue: Vol 52, No 6 (2016)
- Pages: 767-780
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153865
- DOI: https://doi.org/10.1134/S0012266116060070
- ID: 153865
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Abstract
We study the classical solution of a boundary value problem for a nonstrictly parabolic equation of the third order in a rectangular domain of two independent variables. We pose Cauchy conditions on the lower base of the domain and the Dirichlet conditions on the lateral boundary. By the method of characteristics, we obtain a closed-form analytic expression for the solution of the problem. The uniqueness of the solution is proved.
About the authors
V. I. Korzyuk
Belarus State University
Author for correspondence.
Email: korzyuk@bsu.by
Belarus, Minsk
A. A. Mandrik
Belarus State University
Email: korzyuk@bsu.by
Belarus, Minsk
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