On the Riemann–Hilbert Problem with a Piecewise Constant Matrix | Zendy

Vladimir Mityushev | Zendy; Sergei Rogosin | Zendy

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On the Riemann–Hilbert Problem with a Piecewise Constant Matrix

Author(s) -

Vladimir Mityushev,

Sergei Rogosin

Publication year - 2008

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1343

Subject(s) - constant (computer programming) , piecewise , mathematics , matrix (chemical analysis) , riemann hypothesis , mathematical analysis , pure mathematics , computer science , materials science , composite material , programming language

Mityushev, V. V., Rogosin, S. V. (2008). On the Riemann-Hilbert problem with a piecewise constant matrix. Zeitschrift f?r Analysis und ihre Anwendungen, 27 (1), 53-66.A constructive solution to the Riemann-Hilbert boundary value problem as well as to the C-linear conjugation problem (or Riemann problem) with a special piecewise constant matrix for a multiply connected domain is obtained. The result is based on a vector generalization of the scalar method of functional equations in complex domain and on application of the Christoffel-Schwarz transformation of the half-plane onto a circular polygon.Peer reviewe

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