Initial value problems with regular initial functions in quaternionic analysis

DOI10.1080/17476930903276217zbMath1180.35167OpenAlexW2020827491MaRDI QIDQ3653319

Le Hung Son, Quoc Hung Nguyen

Publication date: 22 December 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903276217

zbMATH Keywords

initial value problemassociated operatorCauchy-Riemann operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Cauchy-Kovalevskaya theorems (35A10) Initial value problems for linear first-order PDEs (35F10)

Related Items (8)

First order differential operators associated to the space of monogenic functions in parameter-depending Clifford algebras ⋮ Ulam-Hyers stability for fractional differential equations in quaternionic analysis ⋮ Interior estimates in the sup-norm for a class of generalized functions with integral representations ⋮ A new sine-G family of distributions: properties and applications ⋮ Associated spaces in Clifford analysis ⋮ On new existence results for fractional differential equations in quaternionic analysis ⋮ Incomplete Tribonacci-Lucas numbers and polynomials ⋮ Initial value problems in quaternionic analysis with a disturbed Dirac operator

Cites Work

• An example of a smooth linear partial differential equation without solution
• An Elementary Proof of the Cauchy-Kowalevsky Theorem
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