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Exact controllability of the Euler-Bernoulli equation with $$L_ 2(\Sigma)$$-control only in the Dirichlet boundary condition. (English) Zbl 0666.49011
The paper studies the problem of exact controllability of the Euler- Bernoulli equation in a cylinder $$\Omega$$ $$\times [0,T]$$ of $$R^{n+1}$$, via boundary controls acting on its lateral surface.

##### MSC:
 93B03 Attainable sets, reachability 35B37 PDE in connection with control problems (MSC2000) 35L20 Initial-boundary value problems for second-order hyperbolic equations 93B05 Controllability