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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 3(28), Pages 184–187
DOI: https://doi.org/10.14498/vsgtu1118 (Mi vsgtu1118) 		 
Short Communication
Differential Equations

On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient

E. A. Maksimova

Samara State Technical University, Samara, Russia
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DOI: https://doi.org/10.14498/vsgtu1118
Abstract: The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power $m$ is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
Keywords: Riemann method, Cauchy problem, Euler–Poisson–Darboux system, nilpotent matrix.
Original article submitted 13/VI/2012
revision submitted – 13/VIII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L45
Language: Russian
Citation: E. A. Maksimova, “On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 184–187
Citation in format AMSBIB
\Bibitem{Mak12}
\by E.~A.~Maksimova
\paper On Cauchy problem for Euler--Poisson--Darboux system with nilpotent matrix coefficient
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 184--187
\mathnet{http://mi.mathnet.ru/vsgtu1118}
\crossref{https://doi.org/10.14498/vsgtu1118}
\zmath{https://zbmath.org/?q=an:1326.35189}
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