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Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
Author(s) -
Pogorui Anatoliy,
RodríguezDagnino Ramón M.,
Shapiro Michael
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3019
Subject(s) - mathematics , constant (computer programming) , commutative property , constant coefficients , pure mathematics , set (abstract data type) , algebra over a field , mathematical analysis , computer science , programming language
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.