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Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation

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Abstract

Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.

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Author information

Authors and Affiliations

  1. School of Mathematics and Physics, Hebei University of Engineering, Handan, P. R. China

    Hongfen Yuan

  2. Department of Mathematical and Functional Analysis, South Ural State University, Chelyabinsk, Russia

    Valery V. Karachik

Authors
  1. Hongfen Yuan
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  2. Valery V. Karachik
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Corresponding author

Correspondence to Hongfen Yuan.

Additional information

This work was supported by the NNSF of China (No. 11426082), the Natural Science Foundation of Hebei Province (No. A2016402034), the Handan Municipal Science and Technology Bureau (Project No. 19422031008-13), and the Foundation of Hebei University of Engineering under Grant Nos. 16121002014, 17129033049, 86210022, 00070348.

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Yuan, H., Karachik, V.V. Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation. Czech Math J 72, 523–539 (2022). https://doi.org/10.21136/CMJ.2022.0043-21

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  • DOI: https://doi.org/10.21136/CMJ.2022.0043-21

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