Spectral theory of some non-selfadjoint linear differential operators

@article{Pelloni2013SpectralTO,
  title={Spectral theory of some non-selfadjoint linear differential operators},
  author={Beatrice Pelloni and D. A. Smith},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2013},
  volume={469}
}
  • B. Pelloni, D. Smith
  • Published 21 May 2012
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
We give a characterization of the spectral properties of linear differential operators with constant coefficients, acting on functions defined on a bounded interval, and determined by general linear boundary conditions. The boundary conditions may be such that the resulting operator is not selfadjoint. We associate the spectral properties of such an operator S with the properties of the solution of a corresponding boundary value problem for the partial differential equation ∂tq±iSq=0. Namely… 

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