Email this article Dirichlet Problem for a Mixed Type Equation of the Second Kind in Exceptional Cases
- Authors: Khairullin R.S.1
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Affiliations:
- Kazan State University of Architecture and Engineering
- Issue: Vol 54, No 4 (2018)
- Pages: 562-565
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154743
- DOI: https://doi.org/10.1134/S0012266118040134
- ID: 154743
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Abstract
We prove that the Dirichlet problem for a mixed-type equation of the second kind with an integer negative coefficient has a solution in a rectangular domain. The corresponding estimates are constructed and used to determine sufficient conditions for the problem to have a solution. The cases of nonuniqueness of the solution are distinguished, and solvability conditions in these cases are obtained.
About the authors
R. S. Khairullin
Kazan State University of Architecture and Engineering
Author for correspondence.
Email: xravil@kgasu.ru
Russian Federation, Kazan, 420043
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