- June 28, 2005, Tuesday - 16h00 (Room P 3.31):
A nonlinear Riemann-Hilbert boundary value problem
and its relation to a matrix factorization problem
Sergei V. Rogosin
(Belarussian State University, Minsk, Belarus)
Abstract.
We consider the relation of a particular Riemann-Hilbert boundary
value problem for vector functions with matrix coefficients to a matrix
factorization. Main attention is paid to the constructive solution of a matrix
C-linear conjugation problem with piece-wise constant matrix on
the plane cut along a set that consists of a finite number of intervals.
The approach is based on the method of functional equations developed for
the scalar case in the monograph by V.V. Mityushev and S.V. Rogosin entitled
"Constructive Methods for Linear and Nonlinear Boundary Value
Problems for Analytic Functions. Theory and Applications", Chapman
and Hall / CRC Press, 1999. The work will be published in a forthcoming
paper with V.V. Mityushev.
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