Singular integral operators on curves with corners

作者: Martin Costabel

DOI: 10.1007/BF01701497

关键词:

摘要: The symbol map of Gohberg and Krupnik [6] for the closed algebra generated by singular integral operators with piecewise continuous coefficients is extended to case curves corners. This includes operator double layer potential on such curves.

参考文章(7)
Torsten Carleman, Über das Neumann-Poincarésche problem für ein gebiet mit ecken Almqvist & Wiksells Boktryckeri. ,(1916)
R V Dudučava, ON BISINGULAR INTEGRAL OPERATORS WITH DISCONTINUOUS COEFFICIENTS Mathematics of The Ussr-sbornik. ,vol. 30, pp. 515- 537 ,(1976) , 10.1070/SM1976V030N04ABEH002286
A. P. Calderón, C. P. Calderón, E. Fabes, M. Jodeit, N. M. Riviere, Applications of the Cauchy integral on Lipschitz curves Bulletin of the American Mathematical Society. ,vol. 84, pp. 287- 291 ,(1978) , 10.1090/S0002-9904-1978-14478-4
Wolfgang L. Wendland, Elliptic systems in the plane ,(1979)
I C Gohberg, N J Krupnik, Singular Integral Operators with Piecewise Continuous Coefficients and Their Symbols Mathematics of The Ussr-izvestiya. ,vol. 5, pp. 955- 979 ,(1971) , 10.1070/IM1971V005N04ABEH001127
Martin Costabel, A contribution to the theory of singular integral equations with carleman shift Integral Equations and Operator Theory. ,vol. 2, pp. 11- 24 ,(1979) , 10.1007/BF01729358