Abstract
A generalized monogenic function is a Clifford-algebra-valued solution u = u(x) of an equation of type Du = F(x,u) where D is the Cauchy-Riemann operator in ℝ n+1 and F(x,u) is linear in the components of u. The paper proves a sufficient condition under which the right-hand side is antimonogenic. This criterion makes it possible to construct anti-monogenic righthand sides.
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© 1999 Kluwer Academic Publishers
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Tutschke, W., Yüksel, U. (1999). Generalized Monogenic Functions Satisfying Differential Equations with Anti-Monogenic Right-Hand Sides. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_16
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DOI: https://doi.org/10.1007/978-1-4613-3291-6_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-3293-0
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