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On factorization and solution of multidimensional linear partial differential equations

S. P. Tsarev
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Abstract

We describe a method of obtaining closed-form complete solutions of certain second-order linear partial differential equations with more than two independent variables. This method generalizes the classical method of Laplace transformations of second-order hyperbolic equations in the plane and is based on an idea given by Ulisse Dini in 1902.

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S. P. Tsarev. 2006-12-27. On factorization and solution of multidimensional linear partial differential equations. https://arxiv.org/abs/cs/0609075

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