Matrix methods for wave equations

@article{Mugnolo2006MatrixMF,
  title={Matrix methods for wave equations},
  author={Delio Mugnolo},
  journal={Mathematische Zeitschrift},
  year={2006},
  volume={253},
  pages={667-680}
}
  • Delio Mugnolo
  • Published 23 February 2006
  • Mathematics
  • Mathematische Zeitschrift
In analogy to a characterisation of operator matrices generating C0-semigroups due to R. Nagel ([13]), we give conditions on its entries in order that a 2×2 operator matrix generates a cosine operator function. We apply this to systems of wave equations, to second order initial-boundary value problems, and to overdamped wave equations. 
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