Intertwining Laplace Transformations of Linear Partial Differential Equations
Abstract
We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in Rn. Practically all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, ILT). We give a complete algorithm of construction of ILT and describe the classes of operators in Rn suitable for this transformation. Keywords: Integration of linear partial differential equations, Laplace transformation, differential transformation
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