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Riemannfunktionen und Differentialoperatoren. (English) Zbl 0546.35021

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

MSC:

35J15 Second-order elliptic equations
35L15 Initial value problems for second-order hyperbolic equations
35C99 Representations of solutions to partial differential equations
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