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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 160, Pages 42–48 (Mi into423)  
Dirichlet problems for functions that are harmonic on a two-dimensional net

L. A. Kovalevaa, A. P. Soldatovbc

a Federal State Public Educational Establishment of Higher Training «Belgorod Law Institute of Ministry of the Internal of the Russian Federation named after I.D. Putilin»
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
c Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
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Abstract: The Dirichlet problem for harmonic functions on a two-dimensional complex of a special type is considered. It is proved that this problem is a Fredholm problem in the Hölder class and its index is zero.
Keywords: two-dimensional complex, Fredholm property, index, Hölder space, harmonic function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.7311.2017/Á×
Ministry of Education and Science of the Republic of Kazakhstan 3492.GF4
This work was partially supported by the Ministry of Education and Science of the Russian Federation (project No. 1.7311.2017/BCh) and the Ministry of Education and Science of the Republic of Kazakhstan (international project No. 3492.GF4).
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35J05, 35J25
Language: Russian
Citation: L. A. Kovaleva, A. P. Soldatov, “Dirichlet problems for functions that are harmonic on a two-dimensional net”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17, St. Petersburg Polytechnic University, July 24-28, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 160, VINITI, Moscow, 2019, 42–48
Citation in format AMSBIB
\Bibitem{KovSol19}
\by L.~A.~Kovaleva, A.~P.~Soldatov
\paper Dirichlet problems for functions that are harmonic on a two-dimensional net
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences ICMMAS-17,
St. Petersburg Polytechnic University, July 24-28, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 160
\pages 42--48
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3981829}
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