Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 1, Pages 16–25 (Mi vmumm39)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Level lines of harmonic functions related to some Abelian integrals

V. V. Fufaev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (363 kB) Citations (2)
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Abstract: The localization of level lines of harmonic functions representing real parts of certain abelian integrals is studied in the paper. Harmonic functions of such form appear in the the study of asymptotics of solutions to second-order differential equations; the corresponding level lines relate to the distribution of eigenvalues of a non-selfadjoint Sturm–Liouville problem and to position of trajectories of the corresponding quadratic differentials.
Key words: elliptic integral, quadratic differential.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00117а
Received: 18.05.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 1, Pages 15–23
DOI: https://doi.org/10.3103/S002713221701003X
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Fufaev, “Level lines of harmonic functions related to some Abelian integrals”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 1, 16–25; Moscow University Mathematics Bulletin, 72:1 (2017), 15–23
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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