Obstacles to the factorization of partial differential operators into several factors

DOI10.1134/S036176880702003XzbMath1130.35007arXiv1010.2652MaRDI QIDQ2371561

E. S. Shemyakova, F. Wincler

Publication date: 5 July 2007

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2652

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) General theory of partial differential operators (47F05) Linear higher-order PDEs (35G05) Other special methods applied to PDEs (35A25)

Related Items (6)

Invertible Darboux transformations of type I ⋮ Laplace maps and constraints for a class of third-order partial differential operators ⋮ A Jordan-Hölder theorem for differential algebraic groups ⋮ Refinement of two-factor factorizations of a linear partial differential operator of arbitrary order and dimension ⋮ Laplace invariants of differential operators ⋮ Multiple Factorizations of Bivariate Linear Partial Differential Operators

Cites Work

• On Laplace and Dini transformations for multidimensional equations with a decomposable principal symbol
• Factoring and solving linear partial differential equations
• Approximate factorization of linear partial differential operators
• A Full System of Invariants for Third-Order Linear Partial Differential Operators

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