On factorization and solution of multidimensional linear partial differential equations

@article{Tsarev2006OnFA,
  title={On factorization and solution of multidimensional linear partial differential equations},
  author={Sergey P. Tsarev},
  journal={CoRR},
  year={2006},
  volume={abs/cs/0609075}
}
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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