Extension of solutions to Riemann boundary value problems and its application

作者：Lu Jianke^*

来源：Acta Mathematica Scientia, 2007, 27(4): 694-702.

• Riemann boundary value problem
• class K-N
• index and canonical function in class K-N
• almost bounded
• almost of order k
• characteristic singular integral equation

In this paper, solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes. As an application, certain singular integral equation is discussed.

• 出版日期2007-10
• 单位武汉大学