• Corpus ID: 124237091

Spectral theory of ordinary and partial linear dierential operators on nite intervals

@inproceedings{Smith2011SpectralTO,
  title={Spectral theory of ordinary and partial linear dierential operators on nite intervals},
  author={D. A. Smith},
  year={2011}
}
ii Abstract A new, unified transform method for boundary value problems on linear and integrable nonlinear partial differential equations was recently introduced by Fokas. We consider initialboundary value problems for linear, constant-coefficient evolution equations of arbitrary order on a finite domain. We use Fokas’ method to fully characterise well-posed problems. For odd order problems with non-Robin boundary conditions we identify sufficient conditions that may be checked using a simple… 

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    Mathematical Proceedings of the Cambridge Philosophical Society
  • 2011
Abstract We study initial-boundary value problems for linear evolution equations of arbitrary spatial order, subject to arbitrary linear boundary conditions and posed on a rectangular 1-space, 1-time

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