Application of integral operators to the theory of partial differential equations with singular coefficients
✍ Scribed by Stefan Bergman; Ranko Bojanić
- Publisher
- Springer
- Year
- 1962
- Tongue
- English
- Weight
- 676 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0003-9527
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📜 SIMILAR VOLUMES
A numerical technique to determine the singular behavior of the solution of Cauchy singular integral equations (CSIE) with variable coefficients is proposed. The fundamental solution, which is a solution of the corresponding homogeneous equation, is constructed by a quadraturecollocation scheme. Thi
## Abstract A criterion for the Fredholmness of singular integral operators with Carleman shift in __L~P~(Γ__) is obtained, where Γ is either the unit circle or the real line. The approach allows to consider unbounded coefficients in a class related to that of quasicontinuous functions. Application
The present study investigates a numerical algorithm for solving systems of Cauchy singular integral equations of the second kind such as those which often occur in the analysis of interface crack problems. The algorithm takes advantage of many standard subroutines tbr performing numerical integrati