Commutative Algebras Associated with Classic Equations of Mathematical Physics

DOI10.1007/978-3-0348-0417-2_5zbMath1271.30028OpenAlexW167368362MaRDI QIDQ2840590

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Publication date: 22 July 2013

Published in: Advances in Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0417-2_5

zbMATH Keywords

biharmonic equationLaplace equationStokes flow functionaxialsymmetric potentialharmonic commutative Banach algebraharmonic vector

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

Monogenic functions with values in generalized Clifford algebras ⋮ Monogenic functions and harmonic vectors ⋮ Generalized Clifford algebras associated to certain partial differential equations ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics ⋮ An analog of the Menchov-Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra ⋮ An extension of monogenic functions and spatial potentials

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