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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{INTO_2019_167_a1,
     author = {Zh. A. Balkizov},
     title = {On a priori estimates of solutions of the {Tricomi} problem for a certain mixed-type second-order equation},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {14--20},
     publisher = {mathdoc},
     volume = {167},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_167_a1/}
}
TY  - JOUR
AU  - Zh. A. Balkizov
TI  - On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2019
SP  - 14
EP  - 20
VL  - 167
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2019_167_a1/
LA  - ru
ID  - INTO_2019_167_a1
ER  - 
%0 Journal Article
%A Zh. A. Balkizov
%T On a priori estimates of solutions of the Tricomi problem for a certain mixed-type second-order equation
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2019
%P 14-20
%V 167
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2019_167_a1/
%G ru
%F INTO_2019_167_a1
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/