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A large class of initial-boundary value problems of linear evolution partialdifferential equations formulated on the half-line is analyzed via the unifiedtransform method. In particular, explicit formulae are presented for thegeneralized Dirichlet to Neumann maps. Namely, the determination of the unknownboundary values in terms of an essential set of given data.

Generalized Dirichlet to Neumann Maps for Linear Dispersive Equations on Half-Line