English

Local boundary controllability in classes of differentiable functions for the wave equation

Mathematical Physics 2017-08-07 v1 math.MP

Abstract

The well-known fact following from the Holmgren-John-Tataru uniqueness theorem is a local approximate boundary L2L_2-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.

Keywords

Cite

@article{arxiv.1708.01303,
  title  = {Local boundary controllability in classes of differentiable functions for the wave equation},
  author = {M. I. Belishev},
  journal= {arXiv preprint arXiv:1708.01303},
  year   = {2017}
}