Closed-form expression for a generalized solution in Wp1 of a mixed problem describing radially symmetric vibrations of a three-dimensional ball

被引：0

作者：

Kurkina, A. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 01期

关键词：

Wave Equation; Generalize Solution; Matching Condition; Boundary Control; Mixed Problem;

D O I：

10.1134/S001226611501005X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any p >= 1 and any time interval [0, T], we derive a closed-form expression for a generalized solution in W (p) (1) of a mixed problem describing the radially symmetric vibrations of a three-dimensional ball with arbitrary initial conditions and an arbitrary boundary control on the ball surface by a boundary condition of the first kind.

引用

页码：47 / 53

页数：7

共 34 条

[31] A classical solution weakened on the axis for a centrally symmetric mixed problem for a three-dimensional hyperbolic equation of even order in Holder spaces
Baranovskaya, SN
Yurchuk, NI
Koku, C
DIFFERENTIAL EQUATIONS, 2004, 40 (05) : 686 - 691
[32] The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in Holder spaces
Baranovskaya, S. N.
Yurchuk, N. I.
Koku, Charie
DIFFERENTIAL EQUATIONS, 2006, 42 (10) : 1418 - 1425
[33] A Classical Solution Weakened on the Axis for a Centrally Symmetric Mixed Problem for a Three-Dimensional Hyperbolic Equation of Even Order in Hölder Spaces
S. N. Baranovskaya
N. I. Yurchuk
Charie Koku
Differential Equations, 2004, 40 : 686 - 691
[34] The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in Hölder spaces
S. N. Baranovskaya
N. I. Yurchuk
Charie Koku
Differential Equations, 2006, 42 : 1418 - 1425

← 1 2 3 4 →