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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

ATHANASSIOS S. FOKAS  and
ZIPENG WANG
ATHANASSIOS S. FOKAS
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA. United Kingdom. e-mail: T.Fokas@damtp.cam.ac.uk
ZIPENG WANG
Affiliation:
Cambridge Centre for Analysis, University of Cambridge, Cambridge, CB3 0WAUnited Kingdom. e-mail: zipeng.wang@cantab.net
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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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References

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