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Noether property and approximate solution of the Riemann boundary value problem on closed curves

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Abstract

In this paper, we aim to discuss the Noether property of the Riemann boundary value problems in a Banach algebra of continuous functions over simple closed curves and its direct approximate solution through approximation of the principal coefficient, establishing a bound for the error of approximate solution of the problem to the exact solution.

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Acknowledgements

This paper is dedicated to the memory of Professor Dr. Boris Aleksandrovich Kats and his outstanding legacy in the field of Riemann boundary value problems, who sadly passed away on Thursday 25th February, 2021.

Funding

Instituto Politécnico Nacional, in the framework of SIP programs (Grant Number 20211188).

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Authors and Affiliations

  1. SEPI-ESIME-Zacatenco, Instituto Politécnico Nacional, Mexico, México

    Juan Bory-Reyes

  2. Moscow Polytechnic University, Moscow, Russia

    David Katz

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  1. Juan Bory-Reyes
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  2. David Katz
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Correspondence to David Katz.

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Bory-Reyes, J., Katz, D. Noether property and approximate solution of the Riemann boundary value problem on closed curves. Anal.Math.Phys. 11, 154 (2021). https://doi.org/10.1007/s13324-021-00582-5

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  • DOI: https://doi.org/10.1007/s13324-021-00582-5

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