The generalized Riemann problem of linear conjugation for non-homogeneous polyanalytic equations of order \(n\) in \(W_{n,p}(D)\) (Q5945539)

In a preceding paper [Z. Anal. Anwend. 18, No. 3, 611-624 (1999; Zbl 0936.30036)], the author considered the generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equations of order \(n\) in the Sobolev space \(W_{n,p}(D)\) \((D\) being a simply-connected bounded domain in the complex plane). In the present paper on the generalized Riemann problem, very closely following the ideas and methods of his above cited paper, the author investigates the same type of equations, under the same assumptions. Thus, the main result here is the reduction of the given problem to \(n\) classical Riemann problems of linear conjugation for analytic functions.