Observability and uniqueness theorem for a coupled hyperbolic system
We deal with the inverse inequality for a coupled hyperbolic system with dissipation. The inverse inequality is an indispensable inequality that appears in the Hilbert Uniqueness Method (HUM), to establish equivalence of norms which guarantees uniqueness and boundary exact controllability results. T...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002477 |
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| Summary: | We deal with the inverse inequality for a coupled hyperbolic system
with dissipation. The inverse inequality is an indispensable
inequality that appears in the Hilbert Uniqueness Method (HUM), to
establish equivalence of norms which guarantees uniqueness and
boundary exact controllability results. The term observability is
due to the mathematician Ho (1986) who used it in his works
relating it to the inverse inequality. We obtain the inverse
inequality by the Lagrange multiplier method under certain
conditions. |
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| ISSN: | 0161-1712 1687-0425 |