On normal solvability of the riemann problem with singular coefficient

M. Rakowski; I. Spitkovsky

doi:10.1090/s0002-9939-97-03631-9

On normal solvability of the riemann problem with singular coefficient

M. Rakowski, I. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Suppose G is a singular matrix function on a simple, closed, rectifiable contour F. We present a necessary and sufficient condition for normal solvability of the Riemann problem with coefficient G in the case where G admits a spectral (or generalized Wiener-Hopf) factorization G₊ΛG_- with G^±1 essentially bounded. The boundedness of G^±1 is not required when Γ takes injective values a.e. on F.

Original language	English (US)
Pages (from-to)	815-826
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-97-03631-9
State	Published - 1997

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-97-03631-9

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On normal solvability of the riemann problem with singular coefficient

Abstract

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