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.
| Original language | English |
|---|---|
| Pages (from-to) | 527-534 |
| Number of pages | 8 |
| Journal | Communications in Mathematics |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Dec 2021 |
Keywords
- Phragmèn Lindelöf principle
- Riemann boundary value problem