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

Juan Bory-Reyes

doi:10.2478/cm-2021-0033

Juan Bory-Reyes - A note on the solvability of homogeneous Riemann boundary problem with infinity index

cm:9550 - Communications in Mathematics, December 23, 2021, Volume 29 (2021), Issue 3 - https://doi.org/10.2478/cm-2021-0033

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

Authors: Juan Bory-Reyes

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.

https://doi.org/10.2478/cm-2021-0033

Source: HAL:hal-03665028v1

Volume: Volume 29 (2021), Issue 3

Published on: December 23, 2021

Imported on: May 11, 2022

Keywords: [MATH]Mathematics [math]

Licence: Attribution-Non Commercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)