Solutions to evolution PDEs on a finite interval are reconstructed as superpositions of half-line solutions whose data are recovered via a fixed-point argument using the Fokas unified transform.
Cavalcante, The initial boundary value problem for some quadratic nonlinear S chr\"odinger equations on the half-line , Differential Integral Equations 30 (2017), no
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A new approach for the analysis of evolution partial differential equations on a finite interval
Solutions to evolution PDEs on a finite interval are reconstructed as superpositions of half-line solutions whose data are recovered via a fixed-point argument using the Fokas unified transform.