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Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line
Published online by Cambridge University Press: 27 February 2017
Abstract
A large class of initial-boundary problems of linear evolution partial differential equations formulated on the half-line is analyzed via the unified transform method. In particular, explicit representations are presented for the generalised Dirichlet to Neumann maps. Namely, the determination of the unknown boundary values when an essential set of initial and boundary data is given.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 2 , March 2018 , pp. 297 - 324
- Copyright
- Copyright © Cambridge Philosophical Society 2017
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