Problemy Analiza — Issues of Analysis
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Probl. Anal. Issues Anal.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Problemy Analiza — Issues of Analysis, 2019, Volume 8(26), Issue 2, Pages 92–104
DOI: https://doi.org/10.15393/j3.art.2019.6270 (Mi pa266) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Value range of solutions to the chordal Loewner equation with restriction on the driving function

A. V. Zherdevab

a Petrozavodsk State University, 33 Lenin pr., Petrozavodsk, 185910, Russia
b Saratov State University, 83 Astrakhanskaya str., Saratov, 410012, Russia
Full-text PDF (542 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.15393/j3.art.2019.6270
Abstract: We consider a value range $\{g(i, T)\}$ of solutions to the chordal Loewner equation with the restriction $|\lambda(t)| \le c$ on the driving function. We use reachable set methods and the Pontryagin maximum principle.
Keywords: Value range, Loewner equation, Hamilton function, Pontryagin maximum principle.
Funding agency Grant number
Russian Science Foundation 17-11-01229
This work was supported by the Russian Science Foundation, project 17-11-01229.
Received: 03.05.2019
Revised: 14.05.2019
Accepted: 18.05.2019
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C55
Language: English
Citation: A. V. Zherdev, “Value range of solutions to the chordal Loewner equation with restriction on the driving function”, Probl. Anal. Issues Anal., 8(26):2 (2019), 92–104
Citation in format AMSBIB
\Bibitem{Zhe19}
\by A.~V.~Zherdev
\paper Value range of solutions to the chordal Loewner equation with restriction on the driving function
\jour Probl. Anal. Issues Anal.
\yr 2019
\vol 8(26)
\issue 2
\pages 92--104
\mathnet{http://mi.mathnet.ru/pa266}
\crossref{https://doi.org/10.15393/j3.art.2019.6270}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000471801400007}
\elib{https://elibrary.ru/item.asp?id=38224567}
Linking options:
  • https://www.mathnet.ru/eng/pa266
  • https://www.mathnet.ru/eng/pa/v26/i2/p92
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025