Fundamental solutions for second order elliptic operators in Clifford-type algebras

DOI10.1007/s00006-014-0526-5zbMath1331.15017OpenAlexW2085587039MaRDI QIDQ497149

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 September 2015

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

Full work available at URL: https://doi.org/10.1007/s00006-014-0526-5

zbMATH Keywords

fundamental solutionselliptic operatorsmonogenic functionsClifford-type algebrasCauchy Riemann operatorintegral representations formulae

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (5)

Algebraic structures in generalized Clifford analysis and applications to boundary value problems ⋮ On weighted Dirac operators and their fundamental solutions for anisotropic media ⋮ The Taylor expansion of weighted monogenic functions ⋮ Interior estimates in the sup-norm for a class of generalized functions with integral representations ⋮ Interior \(L_p\)-estimates for functions in Clifford type algebras

Cites Work

• First order elliptic systems. A function theoretic approach
• Iterated integral operators in Clifford analysis
• Some integral representation for meta-monogenic function in Clifford algebras depending on parameters
• Integral Representations in Complex, Hypercomplex and Clifford Analysis
• Weak solutions for elliptic systems with variable growth in Clifford analysis
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