BOUNDARY CONTROLLABILITY PROBLEMS FOR THE WAVE-EQUATION IN A PARALLELEPIPED

被引：2

作者：

AVDONIN, S ^{[1
]}

IVANOV, SA ^{[1
]}

机构：

[1] ST PETERSBURG STATE UNIV,INST MATH & MECH,ST PETERSBURG 198904,RUSSIA

来源：

APPLIED MATHEMATICS LETTERS | 1995年 / 8卷 / 02期

关键词：

BOUNDARY CONTROLLABILITY; WAVE EQUATION;

D O I：

10.1016/0893-9659(95)00019-M

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The wave equation in an N-dimensional parallelepiped with boundary control equal zero everywhere except of an edge of dimension N - 2 is considered. The other case which is investigated is the boundary control acting on a face of dimension N - 1 and depending on N - 1 independent variables (including t). It is proved that, in both cases, the system is not approximately controllable for any T > 0.

引用

页码：97 / 102

页数：6

共 50 条

[21] APPROXIMATE CONTROLLABILITY FOR THE WAVE-EQUATION WITH OSCILLATING COEFFICIENTS
CIORANESCU, D
DONATO, P
ZUAZUA, E
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 178 : 118 - 124
[22] A numerical method for exact boundary controllability problems for the wave equation
Gunzburger, M.
Hou, L. S.
Ju, L.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (05) : 721 - 750
[23] Exact neumann boundary controllability for problems of transmission of the wave equation
Liu, WJ
Williams, GH
GLASGOW MATHEMATICAL JOURNAL, 1999, 41 : 125 - 139
[24] DIRICHLET PROBLEM AND NONLOCAL BOUNDARY-VALUE-PROBLEMS FOR THE WAVE-EQUATION
KAL'MENOV, TS
SADYBEKOV, MA
DIFFERENTIAL EQUATIONS, 1990, 26 (01) : 55 - 59
[25] SOME LOCAL AND NONLOCAL BOUNDARY-VALUE-PROBLEMS FOR THE WAVE-EQUATION
ALDASHEV, SA
DIFFERENTIAL EQUATIONS, 1983, 19 (01) : 1 - 6
[26] BOUNDARY-VALUE-PROBLEMS FOR A 2-DIMENSIONAL WAVE-EQUATION
IRANIPARAST, N
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 55 (03) : 349 - 356
[27] SOME BOUNDARY-VALUE-PROBLEMS FOR THE WAVE-EQUATION IN INFINITE REGIONS
EVSIN, VI
DIFFERENTIAL EQUATIONS, 1983, 19 (01) : 42 - 46
[28] VARIATIONAL METHOD FOR SOLVING BOUNDARY-VALUE-PROBLEMS FOR THE WAVE-EQUATION
FILIPPOV, VM
DIFFERENTIAL EQUATIONS, 1984, 20 (11) : 1401 - 1407
[29] EXACT CONTROLLABILITY IN SHORT-TIME FOR THE WAVE-EQUATION
KOMORNIK, V
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1989, 6 (02): : 153 - 164
[30] BOUNDARY ELEMENT METHOD AND WAVE-EQUATION
MISLJENOVIC, DM
APPLIED MATHEMATICAL MODELLING, 1982, 6 (03) : 205 - 208

← 1 2 3 4 5 →