Classical Solution of the First Mixed Problem for the Wave Equation in a Cylindrical Domain

被引：1

作者：

Korzyuk, V. I. ^{[1
,2
]}

Stolyarchuk, I. I. ^{[2
]}

机构：

[1] Belarusian State Univ, Minsk 220030, BELARUS

[2] Natl Acad Sci Belarus, Inst Math, Minsk 220072, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2022年 / 58卷 / 10期

关键词：

D O I：

10.1134/S00122661220100068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the first mixed problem for the wave equation in a cylindrical domain. Using the method of characteristics, we obtain an explicit formula for the classical solution of this problem, and matching conditions for the original functions are found that guarantee sufficient smoothness of the solution in the entire domain.

引用

页码：1348 / 1354

页数：7

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