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

DOI10.1007/S10958-016-3205-3zbMath1362.35097OpenAlexW2566511834MaRDI QIDQ521111

Anatoliy A. Pogorui, Ramón Martin Rodríguez Dagnino

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://eprints.zu.edu.ua/26351/1/624-632.pdf

zbMATH Keywords

commutative algebrabases of subspacesGateaux differentiable functions on a commutative algebra

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Linear higher-order PDEs (35G05)

Related Items (1)

Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras

Cites Work

• Biharmonic bases in algebras of the second rank
• Constructive description of monogenic functions in finite-dimensional commutative algebras
• Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
• Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions

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