Geodesic
On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 14-20.

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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.
Mots-clés : Poisson equation
Keywords: Gellerstedt equation, mixed-type equation, Tricomi problem, Cauchy problem, a priori estimate. 
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Zh. A. Balkizov. On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Tome 167 (2019), pp. 14-20. http://geodesic.mathdoc.fr/item/INTO_2019_167_a1/

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