关于无穷指标齐次黎曼边界问题可解性的一个注记

Q3 Mathematics

Communications in Mathematics Pub Date : 2021-10-01 DOI:10.2478/cm-2021-0033

J. Bory‐Reyes

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引用次数: 2

摘要

摘要本文建立了可整流开曲线上具有无穷指标齐次Riemann边界问题可解的一个充要条件。我们所处理的问题的指标考虑了问题解的要求、曲线在端点处的非光滑程度以及这些点处系数的行为的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on the solvability of homogeneous Riemann boundary problem with infinity index

Abstract In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.