Differential operators associated to the Cauchy-Fueter operator in quaternion algebra

DOI10.1007/S00006-010-0272-2zbMath1228.35072OpenAlexW2052439392MaRDI QIDQ640378

Thanh Van Nguyen

Publication date: 18 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00006-010-0272-2

zbMATH Keywords

initial value probleminterior estimateassociated space

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Fixed-point theorems (47H10) A priori estimates in context of PDEs (35B45) Initial value problems for linear first-order PDEs (35F10)

Cites Work

• An example of a smooth linear partial differential equation without solution
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
• First Order Differential Operators Associated to the Cauchy—Riemann Operator in the Plane
• Necessary and Sufficient Conditions for Associated Pairs in Quaternionic Analysis
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