Boundary value problems for powers of the Dirac operator. (English) Zbl 1211.30058
Summary: In this article, half Robin problems for powers of Dirac operator in the unit ball \(B\) of \(\mathbb R^m\) \((m\geq 3)\) are investigated. By using a certain kind of decomposition of k-monogenic functions an explicit formula for the solution and the necessary and sufficient conditions for the solvability of the problems are obtained.
MSC:
| 30G35 | Functions of hypercomplex variables and generalized variables |
| 35G05 | Linear higher-order PDEs |
| 35G15 | Boundary value problems for linear higher-order PDEs |
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