Well-posedness of the poincaré problem in a cylindrical domain for the higher-dimensional wave equation

被引：0

作者：

Aldashev S.A. ^{[1
]}

机构：

[1] Aktobe State University, Aktobe

来源：

Journal of Mathematical Sciences | 2011年 / 173卷 / 2期

关键词：

Acoustic Wave; Elastic Wave; Kazakhstan; Radio Wave; Regular Solution;

D O I：

10.1007/s10958-011-0236-7

中图分类号：

学科分类号：

摘要：

It is known that waves (acoustic waves, radio waves, elastic waves, and electric waves) in cylindrical tubes are described by the wave equation. In the theory of hyperbolic-type partial differential equations, boundary-value problems with data on the whole boundary serve as examples of ill-posedness of the posed problems. In this work, it is shown that the Poincaŕe problem in a cylindrical domain for the higher-dimensional wave equation is uniquely solvable. A uniqueness criterion for a regular solution is also obtained. © 2011 Springer Science+Business Media, Inc.

引用

页码：150 / 154

页数：4

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