Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2000-06-30
The Classical and the Modified Neumann Problems for the Inhomogeneous Pluriholomorphic System in PolydiscsA. Mohammed (1) Freie Universität Berlin, Germany
The classical Neumann problem for the inhomogeneous pluriholomorphic system in a polydisc is considered. Its solvability conditions and its solution are given. It is shown that the problem is not well-posed. To fix the solution the boundary condition is modified. For the modified problem the solvability conditions and the solution which is unique up to an arbitrary constant are explicitly given.
Keywords: Pluriholomorphic functions, inhomogeneous pluriholomorphic systems, Neumann problem, polydiscs
Mohammed A.: The Classical and the Modified Neumann Problems for the Inhomogeneous Pluriholomorphic System in Polydiscs. Z. Anal. Anwend. 19 (2000), 539-552. doi: 10.4171/ZAA/966