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

被引：0
|
作者：
Balkizov G.A. [1 ]
机构：
[1] Institute of Applied Mathematics and Automation of the Kabardino-Balkar Scientific Center of the Russian Academy of Sciences, Nalchik
来源：
Journal of Mathematical Sciences | 2022年 / 260卷 / 3期
关键词：
35M10; 35M13; a priori estimate; Cauchy problem; Gellerstedt equation; mixed-type equation; Poisson equation; Tricomi problem;
D O I：
10.1007/s10958-022-05692-4
中图分类号：
学科分类号：
摘要：
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. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：286 / 293
页数：7
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