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math.AP2022
The role of periodicity in the solution of third order boundary value problems
B. Pelloni, D. A. Smith
In this short paper, we elucidate how the solution of certain illustrative boundary value problems for the Airy equation on can be expressed as a perturbati…
math.AP2021
Time-periodic linear boundary value problems on a finite interval
A. S. Fokas, B. Pelloni, D. A. Smith
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 appr…
math.AP2019
Linear evolution equations on the half line with dynamic boundary conditions
David A. Smith, Wei Yang Toh
The classical half line Robin problem for the heat equation may be solved via a spatial Fourier transform method. In this work, we study the problem in which the static Robin condi…