Quaternionic analysis, elliptic problems and a physical application of the Dbar formalism

DOI10.1007/S00006-010-0224-XzbMath1202.35064OpenAlexW1981732445MaRDI QIDQ605298

Dimitrios A. Pinotsis

Publication date: 23 November 2010

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-010-0224-x

zbMATH Keywords

biharmonic equationPoisson equationintegral representationsquaternionic analysisNavier equationDbar problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

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