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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.
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 22–26, 2018. Part III, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 167, VINITI, Moscow, 2019, 14–20
Linking options:
https://www.mathnet.ru/eng/into484 https://www.mathnet.ru/eng/into/v167/p14
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Abstract page: | 165 | Full-text PDF : | 69 | References: | 19 |
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