Intertwining Laplace Transformations of Linear Partial Differential Equations

Elena I. Ganzha

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arXiv · 1306.1113

Intertwining Laplace Transformations of Linear Partial Differential Equations

Elena I. Ganzha

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Abstract

We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R^n. 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 R^n suitable for this transformation. Keywords: Integration of linear partial differential equations, Laplace transformation, differential transformation

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Elena I. Ganzha. 2013-05-25. Intertwining Laplace Transformations of Linear Partial Differential Equations. https://arxiv.org/abs/1306.1113

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