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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, 2012, Issue 4(29), Pages 48–55
DOI: https://doi.org/10.14498/vsgtu1078 (Mi vsgtu1078) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Differential Equations

The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation

S. A. Aldashev

Aktobe State University after K. Zhubanov, Aktobe, Kazakhstan
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1078
Abstract: This paper proves the unique solvability of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation, which is the generalization of the Dirichlet and Poincare problems. We also obtain the criterion for the uniqueness of the regular solution.
Keywords: multi-dimensional wave equation, cylindrical domain, local boundary value problem, solvability, uniqueness of solutions.
Original article submitted 10/V/2012
revision submitted – 12/VIII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: Primary 35L05; Secondary 35R25
Language: Russian
Citation: S. A. Aldashev, “The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 48–55
Citation in format AMSBIB
\Bibitem{Ald12}
\by S.~A.~Aldashev
\paper The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 4(29)
\pages 48--55
\mathnet{http://mi.mathnet.ru/vsgtu1078}
\crossref{https://doi.org/10.14498/vsgtu1078}
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  • https://www.mathnet.ru/eng/vsgtu/v129/p48
    • 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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