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| EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH ZERO EIGENVALUES |
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Citation： |
LI Tatsien,YU Lixin.EXACT CONTROLLABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH ZERO EIGENVALUES[J].Chinese Annals of Mathematics B,2003,24(4):415~422 |
| Page view： 1306
Net amount： 920 |
Authors： |
LI Tatsien; YU Lixin |
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 with zero
eigenvalues, the authors establish the local exact controllability with
boundary controls acting on one end or on two ends and internal
controls acting on a part of equations in the system. |
Keywords： |
Semi-global $C^1$ solution, Exact controllability, Quasilinear hyperbolic system |
Classification： |
35L50, 49J20, 93B05, 93C20 |
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