Solvability of the Dirichlet problem for a mixed-type equation of the second kind
- Authors: Khairullin R.S.1
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Affiliations:
- Kazan State University of Architecture and Engineering
- Issue: Vol 53, No 5 (2017)
- Pages: 677-685
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154402
- DOI: https://doi.org/10.1134/S0012266117050111
- ID: 154402
Cite item
Abstract
We obtain sufficient conditions for the solvability of the Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain. The solution is represented by a convergent series constructed from the problem data. Some cases of nonuniqueness of the solution are described.
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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