# Time-periodic linear boundary value problems on a finite interval

@article{Fokas2022TimeperiodicLB, title={Time-periodic linear boundary value problems on a finite interval}, author={A. S. Fokas and Beatrice Pelloni and D. A. Smith}, journal={Quarterly of Applied Mathematics}, year={2022} }

We study the large time behaviour of the solution of a linear dispersive PDEs posed on a finite interval, when the prescribed boundary conditions are time periodic. We use the approach pioneered in [7] for nonlinear integrable PDEs. and then applied to linear problems on the half-line in [6], to characterise necessary conditions for the solution of such a problem to be periodic, at least in an asymptotic sense. We then fully describe the periodicity properties of the solution in three important…

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