Biharmonic bases in algebras of the second rank
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Publication:1089467
DOI10.1007/BF01058492zbMath0619.30049OpenAlexW2045967400MaRDI QIDQ1089467
Publication date: 1986
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01058492
Functions of hypercomplex variables and generalized variables (30G35) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (14)
Monogenic functions with values in algebras of the second rank over the complex field and a generalized biharmonic equation with a triple characteristic ⋮ A Schwartz-type boundary value problem in a biharmonic plane ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra ⋮ Biharmonic problem for an angle and monogenic functions ⋮ Bases in commutative algebras of the second rank and monogenic functions related to some cases of plane orthotropy ⋮ Schwartz-type boundary-value problems for canonical domains in a biharmonic plane ⋮ Solutions of some partial differential equations with variable coefficients by properties of monogenic functions ⋮ Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics ⋮ Monogenic functions with values in commutative complex algebras of the second rank with unit and a generalized biharmonic equation with simple nonzero characteristics ⋮ Commutative Algebras Associated with Classic Equations of Mathematical Physics ⋮ Monogenic functions with values in commutative algebras of the second rank with unit and the generalized biharmonic equation with double characteristic ⋮ Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
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