A note on the solvability of homogeneous Riemann boundary problem with infinity index-Reference-Cited by-同舟云学术

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

Published:2021-12-01 Issue:3 Volume:29 Page:527-534
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Bory-Reyes Juan¹

Affiliation:

1. Instituto Politécnico Nacional . Av. IPN s/n, Col. San Pedro Zacatenco, 07738 Gustavo A. Madero, CDMX, México.

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0033

Reference39 articles.

1. [1] F.D. Gakhov: Boundary value problems. Transl. from the Russian. Reprint of the 1966 translation. (English). Dover Publications, Inc., New York (1990).

2. [2] J.-K. Lu: Boundary value problems for analytic functions (English). World Scientific, Singapore (1993). Series in Pure Mathematics 16.

3. [3] D.P. Peña, J.B. Reyes: Riemann boundary value problem on a regular open curve. J. Nat. Geom. 22 (1-2) (2002) 1–18.

4. [4] R.K. Seĭfullaev: Solvability of a homogeneous Riemann boundary value problem on an open curve. (Russian). Theory of functions and approximations (Saratov, 1982) 2 (1983) 140–143.

5. [5] R.K. Seĭfullaev: A Riemann boundary value problem on a nonsmooth open curve. (Russian). Mat. Sb. (N. S.) 112 (154) (2 (6)) (1980) 147–161.

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