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) |
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Pages (from-to) | 815-826 |
Number of pages | 12 |
Journal | Proceedings of the American Mathematical Society |
Volume | 125 |
Issue number | 3 |
State | Published - Dec 1 1997 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
On normal solvability of the riemann problem with singular coefficient. / Rakowski, M.; Spitkovsky, Ilya.
In: Proceedings of the American Mathematical Society, Vol. 125, No. 3, 01.12.1997, p. 815-826.Research output: Contribution to journal › Article
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TY - JOUR
T1 - On normal solvability of the riemann problem with singular coefficient
AU - Rakowski, M.
AU - Spitkovsky, Ilya
PY - 1997/12/1
Y1 - 1997/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33646966783&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33646966783&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33646966783
VL - 125
SP - 815
EP - 826
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 3
ER -