Abstract:
We consider a value range {g(i,T)} of solutions to the chordal Loewner equation with the restriction |λ(t)|⩽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.
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
\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}
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\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:
D. V. Prokhorov, “Value regions in classes of conformal mappings”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 19:3 (2019), 258–279
Citation in format AMSBIB
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