## Exact controllability for the equation of the one dimensional plate in domains with moving boundary.(English)Zbl 1047.35019

The authors study the problem of the exact controllability in the boundary of the equation $u_{tt} + u_{xxxx} = 0$ in a domain with moving boundary.

### MSC:

 35B37 PDE in connection with control problems (MSC2000) 49K20 Optimality conditions for problems involving partial differential equations 93B05 Controllability 35L35 Initial-boundary value problems for higher-order hyperbolic equations 35Q72 Other PDE from mechanics (MSC2000)

### Keywords:

boundary control; domain with moving boundary
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