• Corpus ID: 119154757

The unified transform method for linear initial-boundary value problems: a spectral interpretation

@article{Smith2014TheUT,
  title={The unified transform method for linear initial-boundary value problems: a spectral interpretation},
  author={David A. Smith},
  journal={arXiv: Spectral Theory},
  year={2014}
}
  • David A. Smith
  • Published 15 August 2014
  • Mathematics
  • arXiv: Spectral Theory
AbstractIt is known that the uni ed transform method may be used to solve any well-posed initial-boundary value problem for a linear constant-coecient evolution equation on the nite in-terval or the half-line. In contrast, classical methods such as Fourier series and transformtechniques may only be used to solve certain problems. The solution representation obtainedby such a classical method is known to be an expansion in the eigenfunctions or generalisedeigenfunctions of the self-adjoint… 
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