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On a Priori Estimates of Solutions of the Tricomi Problem for a Certain Mixed-Type Second-Order Equation

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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.

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  1. Institute of Applied Mathematics and Automation of the Kabardino-Balkar Scientific Center of the Russian Academy of Sciences, Nalchik, Russia

    G. A. Balkizov

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  1. G. A. Balkizov
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Correspondence to G. A. Balkizov.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 167, Proceedings of the IV International Scientific Conference “Actual Problems of Applied Mathematics,” Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, 2019.

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Balkizov, G.A. On a Priori Estimates of Solutions of the Tricomi Problem for a Certain Mixed-Type Second-Order Equation. J Math Sci 260, 286–293 (2022). https://doi.org/10.1007/s10958-022-05692-4

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  • DOI: https://doi.org/10.1007/s10958-022-05692-4

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