On normal solvability of the Riemann problem with singular coefficient期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On normal solvability of the Riemann problem with singular coefficient

Authors:	M. Rakowski I. Spitkovsky

Affiliation:	Department of Mathematics, The Ohio State University, Columbus, Ohio 43210 ; Department of Mathematics, The College of William and Mary, Williamsburg, Virginia 23187-8795

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

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文