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| Global Exact Boundary Controllability for General First-Order Quasilinear Hyperbolic Systems |
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Citation： |
Cunming LIU,Peng QU.Global Exact Boundary Controllability for General First-Order Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics B,2015,36(6):895~906 |
| Page view： 1285
Net amount： 1108 |
Authors： |
Cunming LIU; Peng QU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.\,11326159, 11401421), Shanghai Key
Laboratory for Contemporary Applied Mathematics, Fudan University,
the Initiative Funding for New Researchers, Fudan University and
Yang Fan Foundation of Shanghai on Science and Technology
(No.\,15YF1401100). |
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| Abstract： |
For general first-order quasilinear hyperbolic systems, based on the
analysis of simple wave solutions along characteristic trajectories,
the global two-sided exact boundary controllability is achieved in a
relatively short controlling time. |
Keywords： |
Global exact boundary controllability, General quasilinear
hyperbolic system, Simple wave solution, Characteristic trajectory,
Short controlling time |
Classification： |
35L50, 49J20, 93B05, 93C20 |
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