Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

EXTENSION OF SOLUTIONS TO RIEMANN BOUNDARY VALUE PROBLEMS AND ITS APPLICATION

Lu Jianke   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2006-04-25 Revised:2006-09-15 Online:2007-10-20 Published:2007-10-20
  • Contact: Lu Jianke

Abstract:

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.

Key words: Riemann boundary value problem, class KN, index and canonical
function in class KN,
almost bounded, almost of order k, characteristic singular integral equation

CLC Number: 

  • 30E25
Trendmd