On normal solvability of the riemann problem with singular coefficient

M. Rakowski, Ilya Spitkovsky

Research output: Contribution to journal › Article

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 languageEnglish (US)
Pages (from-to)815-826
Number of pages12
JournalProceedings of the American Mathematical Society
Volume125
Issue number3
StatePublished - Dec 1 1997

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Wiener-Hopf Factorization
Singular Coefficients
Singular Functions
Singular matrix
Matrix Function
Factorization
Injective
Solvability
Boundedness
Cauchy Problem
Necessary Conditions
Closed
Sufficient Conditions
Coefficient

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

Rakowski, M & Spitkovsky, I 1997, 'On normal solvability of the riemann problem with singular coefficient', Proceedings of the American Mathematical Society, vol. 125, no. 3, pp. 815-826.
Rakowski M, Spitkovsky I. On normal solvability of the riemann problem with singular coefficient. Proceedings of the American Mathematical Society. 1997 Dec 1;125(3):815-826.
Rakowski, M. ; Spitkovsky, Ilya. / On normal solvability of the riemann problem with singular coefficient. In: Proceedings of the American Mathematical Society. 1997 ; Vol. 125, No. 3. pp. 815-826.
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