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

Juan Bory-Reyes

Communications in Mathematics (2021)

  • Volume: 29, Issue: 3, page 527-534
  • ISSN: 1804-1388

Abstract

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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.

How to cite

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Bory-Reyes, Juan. "A note on the solvability of homogeneous Riemann boundary problem with infinity index." Communications in Mathematics 29.3 (2021): 527-534. <http://eudml.org/doc/297556>.

@article{Bory2021,
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.},
author = {Bory-Reyes, Juan},
journal = {Communications in Mathematics},
keywords = {Riemann boundary value problem; Phragmèn Lindelöf principle},
language = {eng},
number = {3},
pages = {527-534},
publisher = {University of Ostrava},
title = {A note on the solvability of homogeneous Riemann boundary problem with infinity index},
url = {http://eudml.org/doc/297556},
volume = {29},
year = {2021},
}

TY - JOUR
AU - Bory-Reyes, Juan
TI - A note on the solvability of homogeneous Riemann boundary problem with infinity index
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
VL - 29
IS - 3
SP - 527
EP - 534
AB - 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.
LA - eng
KW - Riemann boundary value problem; Phragmèn Lindelöf principle
UR - http://eudml.org/doc/297556
ER -

References

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