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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 167, Pages 14–20 (Mi into484)  

On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation

Zh. A. Balkizov

Institute of Applied Mathematics and Automation, Nalchik

Abstract: In this paper, a theorem on a priori estimates of solutions of the Tricomi problem for a second-order, mixed-type equation with the Gellerstedt operator in the hyperbolicity domain is proved. The a priori estimate obtained implies the uniqueness of the regular solution of the problem considered.

Keywords: Poisson equation, Gellerstedt equation, mixed-type equation, Tricomi problem, Cauchy problem, a priori estimate

DOI: https://doi.org/10.36535/0233-6723-2019-167-14-20

Full text: PDF file (169 kB)
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UDC: 517.956.6
MSC: 35M10, 35M13

Citation: Zh. A. Balkizov, “On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22Ц26, 2018. Part III, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 167, VINITI, Moscow, 2019, 14–20

Citation in format AMSBIB
\Bibitem{Bal19}
\by Zh.~A.~Balkizov
\paper On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22Ц26, 2018. Part III
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 167
\pages 14--20
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into484}
\crossref{https://doi.org/10.36535/0233-6723-2019-167-14-20}
\elib{https://elibrary.ru/item.asp?id=42295627}


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