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| Exact Boundary Controllability for a Coupled System of Wave Equations with Neumann Boundary Controls |
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Citation： |
Tatsien LI,Bopeng RAO.Exact Boundary Controllability for a Coupled System of Wave Equations with Neumann Boundary Controls[J].Chinese Annals of Mathematics B,2017,38(2):473~488 |
| Page view： 689
Net amount： 595 |
Authors： |
Tatsien LI; Bopeng RAO |
Foundation： |
This work was supported by the National Basic Research
Program of China (No.2013CB834100) and the National Natural
Science Foundation of China (No.11121101). |
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| Abstract： |
This paper first shows the exact boundary controllability for a
coupled system of wave equations with Neumann boundary controls. In
order to establish the corresponding observability inequality, the
authors introduce a compact perturbation method which does not
depend on the Riesz basis property, but depends only on the
continuity of projection with respect to a weaker norm, which is
obviously true in many cases of application. Next, in the case of
fewer Neumann boundary controls, the non-exact boundary
controllability for the initial data with the same level of energy
is shown. |
Keywords： |
Compactness-uniqueness perturbation, Boundary observability, Exactboundary controllability, Non-exact boundary controllability,Coupled system of wave equations, Neumann boundary condition |
Classification： |
93B05, 93B07, 93C20, 35L53 |
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