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Article Dans Une Revue Communications in Mathematics Année : 2021

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

Juan Bory-Reyes
  • Fonction : Auteur correspondant

Résumé

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.
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Dates et versions

hal-03665028 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Juan Bory-Reyes. A note on the solvability of homogeneous Riemann boundary problem with infinity index. Communications in Mathematics, 2021, Volume 29 (2021), Issue 3 (3), pp.527 - 534. ⟨10.2478/cm-2021-0033⟩. ⟨hal-03665028⟩
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