Abstract
We identify the class of smooth boundary conditions that yield an initial-boundaryvalue problem admitting a unique smooth solution for the case of a dispersive linearevolution PDE of arbitrary order, in one spatial dimension, defined on a finiteinterval.This result is obtained by an application of a spectral transform method, introducedby Fokas, which allows us to reduce the problem to the study of the singularitiesof the set of functions arising as the unique solution of a certain linearsystem.
| Original language | English |
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| Pages (from-to) | 361-382 |
| Number of pages | 22 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Volume | 136 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 2004 |