BOUNDARY CONTROLLABILITY PROBLEMS FOR THE WAVE-EQUATION IN A PARALLELEPIPED

Authors
AVDONIN S IVANOV SA
Citation
S. Avdonin et Sa. Ivanov, BOUNDARY CONTROLLABILITY PROBLEMS FOR THE WAVE-EQUATION IN A PARALLELEPIPED, Applied mathematics letters, 8(2), 1995, pp. 97-102
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
8
Issue
2
Year of publication
1995
Pages
97 - 102
Database
ISI
SICI code
0893-9659(1995)8:2<97:BCPFTW>2.0.ZU;2-B
Abstract
The wave equation in an N-dimensional parallelepiped with boundary con trol equal zero everywhere except of an edge of dimension N - 2 is con sidered. 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.