On factorization and solution of multidimensional linear partial differential equations
<|reference_start|>On factorization and solution of multidimensional linear partial differential equations: 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.<|reference_end|>
@article{tsarev2006on,
    title={On factorization and solution of multidimensional linear partial
  differential equations},
    author={S.P. Tsarev},
    journal={arXiv preprint arXiv:cs/0609075},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0609075},
    primaryClass={cs.SC nlin.SI}
}