ON THE LOGARITHMIC POTENTIALDEFINED FOR A VAN KOCH CURVE

S. P. Ponomarev

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ON THE LOGARITHMIC POTENTIALDEFINED FOR A VAN KOCH CURVE

机译：关于范·科赫曲线定义的对数势

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This is a continuation of [1]. Under study are the differentiability properties of the log-arithmic potential determined for some class of complex measures distributed on Van Koch's curves.Unlike the classical case of regular curves, the potential is shown to be of class C~1on the whole plane C.We also study a related analog of Robin's problem. The proofs are based on some results of [1].

机译：这是[1]的延续。在研究中的是确定在Van Koch曲线上分布的一类复杂度量的对数算术势的微分性质。与经典正则曲线不同，该势在整个平面C上显示为C〜1类。还研究了罗宾问题的相关类比。证明是基于[1]的一些结果。

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《Siberian Mathematical Journal》 |2009年第5期|共9页
作者
S. P. Ponomarev;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Van Koch's curve; logarithmic potential; Cauchy-type integral; Robin's problem;

机译：Van Koch曲线;对数势;Cauchy型积分;Robin问题;

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专利

1. ON THE LOGARITHMIC POTENTIALDEFINED FOR A VAN KOCH CURVE [J] . S. P. Ponomarev Siberian Mathematical Journal . 2009,第5期

机译：关于范·科赫曲线定义的对数势
2. Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves [J] . Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama Nagoya Mathematical Journal . 2013,第4期

机译：对数阿贝尔变种，III：对数椭圆曲线和模数曲线
3. Some properties of Van Koch’s curves [J] . Stanislav Ponomarev Siberian Mathematical Journal . 2007,第6期

机译：Van Koch曲线的某些属性
4. Miniaturization of Logarithmic Spiral Antenna Using Fibonacci Sequence and Koch Fractals [C] . Chetna Sharma, Kumar V. Dinesh International Conference for Convergence in Technology . 2018

机译：使用斐波那契数列和科赫分形的对数螺旋天线的小型化
5. The degree of the logarithmic extension of the cotangent bundle to the moduli of pointed curves and Hitchin systems, spectral curves and KP equations. [D] . Hodge, Andrew Richard. 2008

机译：余切束对数曲线的对数扩展，该曲线是尖曲线和Hitchin系统，谱曲线和KP方程的模数。
6. Enhanced Shielding Performance of Layered Carbon Fiber Composites Filled with Carbonyl Iron and Carbon Nanotubes in the Koch Curve Fractal Method [O] . Hetong Zhang, Yue Guo, Xiang Zhang, 2020

机译：Koch曲线分形方法增强了填充有羰基铁和碳纳米管的层状碳纤维复合材料的屏蔽性能
7. Logarithmic abelian varieties, III: Logarithmic elliptic curves and modular curves [O] . Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama 2013

机译：对数abelian品种，III：对数椭圆曲线和模块化曲线

ON THE LOGARITHMIC POTENTIALDEFINED FOR A VAN KOCH CURVE

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