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| LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS |
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Citation： |
LI Ta-tsien,RAO Bopeng.LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,2002,23(2):209~218 |
| Page view： 1252
Net amount： 832 |
Authors： |
LI Ta-tsien; RAO Bopeng |
Foundation： |
Project supported by the Special Funds for Major State Basic Research Projects of China. |
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| Abstract： |
For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem. |
Keywords： |
Exact boundary controllability, Quasilinear hyperbolic system, Nonlinear vibrating string equation |
Classification： |
35L50, 35L20, 93B05, 93C20 |
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