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On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve

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Abstract

The paper deals with the theory of a complete singular integral equation with a Cauchy kernel. The classes of curves and given functions are extended and generalizations of the classical Noether theorems are proved. As a consequence of these theorems, the Noether property is established for the operators associated with this equation, which act into incomplete normed spaces.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. A. Plaksa

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  1. S. A. Plaksa
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 10, pp. 1379–1389, October, 1993.

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Plaksa, S.A. On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve. Ukr Math J 45, 1548–1559 (1993). https://doi.org/10.1007/BF01571089

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  • DOI: https://doi.org/10.1007/BF01571089

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