A. V. Zherdev, “Value range of solutions to the chordal Loewner equation with restriction on the driving function”, Probl. Anal. Issues Anal., 2019, Volume 8(26), Issue 2,Pages <nobr>92

This article is cited in 1 paper

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

A. V. Zherdev^ab

^a Petrozavodsk State University, 33 Lenin pr., Petrozavodsk, 185910, Russia
^b Saratov State University, 83 Astrakhanskaya str., Saratov, 410012, Russia

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.

UDC: 517.54

MSC: 30C55

Received: 03.05.2019
Revised: 14.05.2019
Accepted: 18.05.2019

Language: English

DOI: 10.15393/j3.art.2019.6270