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An elliptic equation of finite index in a domain

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Boletín de la Sociedad Matemática Mexicana Aims and scope Submit manuscript

Abstract

We give an example of first order elliptic equation for a complex-valued function in a plane domain which has a finite number of linearly independent solutions for any right-hand side. No boundary value conditions are thus required.

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Acknowledgements

The first author gratefully acknowledges the financial support of the Ministry of High Education of Iraq.

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Authors and Affiliations

  1. Department of Mathematics, University of Babylon, Babil, Iraq

    Azal Mera

  2. Institute of Mathematics, University of Potsdam, Karl-Liebknecht-Str. 24/25, 14476, Potsdam (Golm), Germany

    Nikolai Tarkhanov

Authors
  1. Azal Mera
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  2. Nikolai Tarkhanov
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Correspondence to Azal Mera.

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Mera, A., Tarkhanov, N. An elliptic equation of finite index in a domain. Bol. Soc. Mat. Mex. 28, 49 (2022). https://doi.org/10.1007/s40590-022-00442-7

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  • DOI: https://doi.org/10.1007/s40590-022-00442-7

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