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arXiv · 1705.00358

Fokas's Uniform Transform Method for linear systems

Bernard Deconinck·Qi Guo·Eli Shlizerman·Vishal Vasan
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Abstract

We demonstrate the use of the Unified Transform Method or Method of Fokas for boundary value problems for systems of constant-coefficient linear partial differential equations. We discuss how the apparent branch singularities typically appearing in the global relation are removable, allowing the method to proceed, in essence, as for scalar problems. We illustrate the use of the method with boundary value problems for the Klein-Gordon equation and the linearized Fitzhugh-Nagumo system. The case of wave equations is treated separately in an appendix.

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Bernard Deconinck, Qi Guo, Eli Shlizerman, Vishal Vasan. 2017-04-30. Fokas's Uniform Transform Method for linear systems. https://arxiv.org/abs/1705.00358

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