Bauer, K. W. Riemannfunktionen und Differentialoperatoren. (English) Zbl 0546.35021 Z. Anal. Anwend. 3, 7-17 (1984). Let \((*)\quad w_{z\xi}+A(z,\xi)w_{\xi}+B(z,\xi)w=0\) be a formally hyperbolic differential equation. If w admits a representation \(w=\sum^{n}_{k=0}a_ k(z,\xi)g^{(k)}(z)\) with holomorphic g (or resp. with a \(g(\xi)\)), then the Riemann function of (*) has a similar representation by derivatives of a holomorphic function. Several examples illustrate the method. Reviewer: K.Habetha Cited in 1 ReviewCited in 2 Documents MSC: 35J15 Second-order elliptic equations 35L15 Initial value problems for second-order hyperbolic equations 35C99 Representations of solutions to partial differential equations Keywords:Bauer-Peschl equation; complex methods; formally hyperbolic differential equation; Riemann function; representation; holomorphic function PDFBibTeX XMLCite \textit{K. W. Bauer}, Z. Anal. Anwend. 3, 7--17 (1984; Zbl 0546.35021) Full Text: DOI