On factorization and solution of multidimensional linear partial differential equations

Details On factorization and solution of multidimensional linear partial differential equations On factorization and solution of multidimensional linear partial differential equations

2006-09-13

arxiv.org/abs/cs/0609075v2

Computer Science

Symbolic Computation

11 pages, Plain LaTeX; Submitted to Proceedings of Waterloo Workshop on Computer Algebra devoted to the 60th birthday Of S.A.A

Scientific paper

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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