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Bestimmung und Anwendung von Vekua-Resolventen

Determination and application of Vekua resolvents

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Abstract

The paper is concerned with the differential equation\(V_{\bar z} = C(z,\bar z)\bar V\) with\(m^2 (\log C)_{z\bar z} + + \varepsilon C\bar C = 0,m > 0,\varepsilon = \pm 1\). The Vekua resolvents are determined by means of an associated second-order differential equation. Applications are given to pseudo-analytic functions, to a differential equation in the theory of several complex variables and to the Ernst equation in general relativity.

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  1. Institut für Mathematik I, Technische Universität Graz, Kopernikusgasse 24, A-8010, Graz, Österreich

    Karl Wilhelm Bauer

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  1. Karl Wilhelm Bauer
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Bauer, K.W. Bestimmung und Anwendung von Vekua-Resolventen. Monatshefte für Mathematik 85, 89–97 (1978). https://doi.org/10.1007/BF01297538

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  • DOI: https://doi.org/10.1007/BF01297538

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