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On the existence of Fredholm boundary value problems for generalized Cauchy-Riemann systems in the space. (English) Zbl 0741.30039

The paper deals with the Riemann-Hilbert boundary value problem for generalized Cauchy-Riemann systems in the space. We investigate the question about existence or non-existence of Fredholm boundary value problems in dependence on the structure of the Cauchy-Riemann system. For this purpose we use a result of a previous paper, stating a criterion for the Fredholm property of a boundary value problem. The obtained conclusions allow a decision of the existence problem for the majority of all generalized Cauchy-Riemann systems. They contain many results of other authors as special cases.
Reviewer: I.Stern

MSC:

30G35 Functions of hypercomplex variables and generalized variables
35F15 Boundary value problems for linear first-order PDEs
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
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