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

A note on the solvability of homogeneous Riemann boundary problem with infinity index AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

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

, Volume 29 (3): 8 – Dec 1, 2021
8 pages

/lp/de-gruyter/a-note-on-the-solvability-of-homogeneous-riemann-boundary-problem-with-ApPcMpngKr
Publisher
de Gruyter
eISSN
2336-1298
DOI
10.2478/cm-2021-0033
Publisher site
See Article on Publisher Site

### Abstract

AbstractIn 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.

### Journal

Communications in Mathematicsde Gruyter

Published: Dec 1, 2021

Keywords: Riemann boundary value problem; Phragmèn Lindelöf principle; Primary 30E20, 30E25; Secondary 30D20