Riemann boundary value problem on fractal arcs and on arcs with infinite length. I
type: Item
instance of: scholarly article
title: Riemann boundary value problem on fractal arcs and on arcs with infinite length. I
zbMATH Open document ID: 0837.30025
published in: Russian Mathematics
publication date: 1996-01-03T00:00:00Z
review text: The author considers the homogeneous Riemann boundary value problem on fractal arcs and on arcs with infinite length. He finds the solution of the problem \(\phi^+(t)= G(t)\phi^-(t)\), \(t\in \Gamma\backslash \{a_1, a_2\}\), with the following restrictions near the ends \(a_j: \phi(z)= O(|z- a_j|^{- \gamma})\), \(\gamma< 1\). He studies this problem for a class of nonrectifiable curves which contains, in particular, the locally rectifiable curves, and for sufficiently smooth coefficient \(G(t)\). In part I of this work the main attention is connected with the gap problem.
reviewed by: N. Karapetiants
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 815653
zbMATH Keywords: Riemann boundary value problem
author: Boris A. Kats
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 815653