Initial value problems in quaternionic analysis with a disturbed Dirac operator

DOI10.1007/s00006-012-0332-xzbMath1255.35011OpenAlexW2025778872MaRDI QIDQ691048

Nguyen Quoc Hung

Publication date: 29 November 2012

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

Full work available at URL: https://doi.org/10.1007/s00006-012-0332-x

zbMATH Keywords

interior estimateassociated operatorCauchy-Riemann operatorHelmholtz-type generalized regular functions

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cauchy-Kovalevskaya theorems (35A10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Ulam-Hyers stability for fractional differential equations in quaternionic analysis ⋮ Necessary and sufficient conditions for associated differential operators in quaternionic analysis and applications to initial value problems ⋮ On new existence results for fractional differential equations in quaternionic analysis ⋮ Necessary and sufficient conditions for first order differential operators to be associated with a disturbed Dirac operator in quaternionic analysis ⋮ Interior \(L_p\)-estimates for functions in Clifford type algebras

Cites Work

• An example of a smooth linear partial differential equation without solution
• Initial value problems with regular initial functions in quaternionic analysis
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
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