Solutions of some partial differential equations with variable coefficients by properties of monogenic functions

• Published in: Український математичний вісник
• Date: 2016
• Main Authors: Pogorui, A.A., Rodriguez-Dagnino, R.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140895
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solutions of some partial differential equations with variable coefficients by properties of monogenic functions / A.A. Pogorui, R.M. Rodriguez-Dagnino // Український математичний вісник. — 2016. — Т. 13, № 1. — С. 118-128. — Бібліогр.: 7 назв. — англ.

In this paper we study some partial differential equations by using properties of Gateaux differentiable functions on commutative algebra. It is proved that components of differentiable functions satisfy some partial differential equations with coefficients related with properties of bases of subspa...