Intertwining Laplace Transformations of Linear Partial Differential Equations
Analysis of PDEs
2013-10-23 v2 Symbolic Computation
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
Cite
@article{arxiv.1306.1113,
title = {Intertwining Laplace Transformations of Linear Partial Differential Equations},
author = {Elena I. Ganzha},
journal= {arXiv preprint arXiv:1306.1113},
year = {2013}
}
Comments
LaTeX, 25 pages v2: minor misprints corrected