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Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras |
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| Authors: | Anatoliy Pogorui Ramón M Rodríguez‐Dagnino Michael Shapiro |
| Institution: | 1. Department of Applied Mathematics, Zhytomyr State University, , Zhytomyr, Ukraine;2. DIEC, Campus Monterrey, Tecnológico de Monterrey (ITESM), , Nuevo Leon, Mexico;3. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, , Mexico D. F. 07738, Mexico |
| Abstract: | Given a PDE with real or complex partial derivatives and with constant coefficients, we propose a method of assigning to it a set of algebra‐valued functions in such a manner that the components of the latter are solutions of the PDE. Copyright © 2013 John Wiley & Sons, Ltd. |
| Keywords: | monogenic functions partial differential equations commutative algebra |