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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, Volume 24, Number 3, Pages 574–582
DOI: https://doi.org/10.14498/vsgtu1809 (Mi vsgtu1809) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communication
Differential Equations and Mathematical Physics

Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation

S. A. Aldashev

Kazakh National Pedagogical University named after Abay, Almaty, 480100, Kazakhstan
Full-text PDF (925 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1809
Abstract: We consider the modeling multidimensional hyperbolic-parabolic equation in the cylindrical area of Euclidean space and formulate the mixed problem with non-homogeneous boundary conditions for it. We show the unique solvability of the problem for the class of continuously differentiable functions and give a way to construct its explicit classical solution.
Keywords: well-posedness of mixed type problem, hyperbolic-parabolic equation, cylindrical area, Bessel functions.
Received: July 22, 2020
Revised: August 25, 2020
Accepted: September 14, 2020
First online: September 30, 2020
Bibliographic databases:
Document Type: Article
UDC: 517.955.2:517.956
MSC: 35M12, 35A02
Language: Russian
Citation: S. A. Aldashev, “Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020), 574–582
Citation in format AMSBIB
\Bibitem{Ald20}
\by S.~A.~Aldashev
\paper Well-posedness of a mixed type problem for the multidimensional hyperbolic-parabolic equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2020
\vol 24
\issue 3
\pages 574--582
\mathnet{http://mi.mathnet.ru/vsgtu1809}
\crossref{https://doi.org/10.14498/vsgtu1809}
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  • https://www.mathnet.ru/eng/vsgtu/v224/i3/p574
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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