Boundary value problems for a model system of first-order equations in three-dimensional space
The authors consider the three-dimensional analog of the generalized Cauchy-Riemann system \(\sum_{k=1}^3 E_k U_{x_k} + A(x) U = F(x)\) where \(E_k\) are constant \(4 \times 4\) matrices of the special type, \(A\) and \(F\) are given matrix and vector, respectively. The authors investigate some Riemann-Hilbert problems, in particular, prove their unique solvability.
scientific article; zbMATH DE number 6485718