An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions

@inproceedings{Daz2001AnAA,
  title={An abstract approximate controllability result and applications to elliptic and parabolic systems with dynamic boundary conditions},
  author={Jes{\'u}s Ildefonso D{\'i}az D{\'i}az and Ioan I. Vrabie},
  year={2001}
}
In this paper we prove an approximate controllability result for an abstract semilinear evolution equation in a Hilbert space and we obtain as consequences the approximate controllability for some classes of elliptic and parabolic problems subjected to nonlinear, possible non monotone, dynamic boundary conditions.