On the Riemann-Hilbert problem with a piecewise constant matrix

Vladimir V. Mityushev*, Sergei Rogosin

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

3 Dyfyniadau(SciVal)

Crynodeb

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.

Iaith wreiddiolSaesneg
Tudalennau (o-i)53-66
Nifer y tudalennau14
CyfnodolynZeitschrift für Analysis und ihre Anwendungen
Cyfrol27
Rhif cyhoeddi1
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 2008

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