Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
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- 作者：Anatoliy Pogorui ; Ramón M. Rodríguez-Dagnino
- 关键词：Monogenic function ; commutative algebra ; partial differential equations
- 刊名：Journal of Mathematical Sciences
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：220
- 期：5
- 页码：624-632
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics, general;
- 出版者：Springer US
- ISSN：1573-8795
- 卷排序：220
文摘
We study some partial differential equations, by using the properties of Gateaux differen-tiable functions on a commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related to properties of the bases of subspaces of the corresponding algebra.