结合驱动函数的Loewner方程的解

IF 0.4 Q4 MATHEMATICS

Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2021-04-14 DOI:10.18500/1816-9791-2021-21-3-317-325

D. Prokhorov, A. Zakharov, A. Zherdev

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引用次数: 1

摘要

研究了两个时间区间上具有不同驱动函数的多弦Loewner微分方程。我们得到了分段常数驱动函数和常数与平方根联合驱动函数的Loewner方程的精确隐式或显式解。在这两种情况下，都有生成轨迹的解析和几何描述。

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Solutions of the Loewner equation with combined driving functions

The paper is devoted to the multiple chordal Loewner differential equation with different driving functions on two time intervals. We obtain exact implicit or explicit solutions to the Loewner equations with piecewise constant driving functions and with combined constant and square root driving functions. In both cases, there is an analytical and geometrical description of generated traces.

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来源期刊

Izvestiya of Saratov University Mathematics Mechanics Informatics MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

38 weeks