Solution of initial value problems with monogenic initial functions in Banach spaces with \(L_p\)-norm

DOI10.1007/S00006-008-0132-5zbMath1190.35055OpenAlexW2077475789MaRDI QIDQ964717

Uğur Yüksel

Publication date: 20 April 2010

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

Full work available at URL: https://doi.org/10.1007/s00006-008-0132-5

zbMATH Keywords

initial value problemmonogenic functionClifford-algebra-valued functionCauchy-Riemann operatorscales of Banach spaces

Mathematics Subject Classification ID

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

Related Items (8)

First order differential operators associated to the space of \(q\)-monogenic functions ⋮ First order differential operators associated to the space of monogenic functions in parameter-depending Clifford algebras ⋮ Necessary and sufficient conditions for associated differential operators in quaternionic analysis and applications to initial value problems ⋮ Interior estimates in the sup-norm for a class of generalized functions with integral representations ⋮ Incomplete Tribonacci-Lucas numbers and polynomials ⋮ Initial value problems in Clifford-type analysis ⋮ Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides on Clifford algebras depending on parameters ⋮ Interior \(L_p\)-estimates for functions in Clifford type algebras

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