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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 2, Pages 34–44 (Mi sjim664)  
This article is cited in 11 scientific papers (total in 11 papers)

A three-dimensional analog of the Tricomi problem for a parabolic-hyperbolic equation

Yu. P. Apakov

Namangan Engineering and Pedagogical Institute, Namagan, UZBEKISTAN
Full-text PDF (235 kB) Citations (11)
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Abstract: For a parabolic-hyperbolic equation, we study the three-dimensional analog of the Tricomi problem with a noncharacteritic plane on which the type of the equation changes. The uniqueness of the solution to the problem is proved by the method of a priori estimates, and the existence of a solution is reduced to the existence of a solution to a Volterra integral equation of the second kind.
Keywords: parabolic-hyperbolic equation, Tricomi problem, Fourier transform, maximum principle, uniqueness, existence, integral equation.
Received: 15.05.2010
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 1, Pages 12–21
DOI: https://doi.org/10.1134/S1990478912010036
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: Yu. P. Apakov, “A three-dimensional analog of the Tricomi problem for a parabolic-hyperbolic equation”, Sib. Zh. Ind. Mat., 14:2 (2011), 34–44; J. Appl. Industr. Math., 6:1 (2012), 12–21
Citation in format AMSBIB
\Bibitem{Apa11}
\by Yu.~P.~Apakov
\paper A three-dimensional analog of the Tricomi problem for a~parabolic-hyperbolic equation
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 2
\pages 34--44
\mathnet{http://mi.mathnet.ru/sjim664}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962152}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 1
\pages 12--21
\crossref{https://doi.org/10.1134/S1990478912010036}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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