Local Boundary Controllability in Classes of Differentiable Functions for the Wave Equation

  title={Local Boundary Controllability in Classes of Differentiable Functions for the Wave Equation},
  author={Mikhail I. Belishev},
  journal={Journal of Mathematical Sciences},
  • M. Belishev
  • Published 3 August 2017
  • Mathematics
  • Journal of Mathematical Sciences
The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2-controllability of the dynamical system governed by the wave equation. Generalizing this result, we establish the controllability in certain classes of differentiable functions in the domains filled up with waves. 

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  • 1997