On the differential properties of solutions to fredholm equations with weakly singular kernels

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 24, Issue 2, 1979, Pages 109-119

  Pitkaranta J ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040108382     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/24.2.109     Document Type: Article

References (8)

1. Abramowitz, M. ∧ Stegun, I. (Eds) 1970 Handbook of Mathematical Functions. New York: Dover Publications.
2. Adams, R. 1975 Sobolev Spaces. New York: Academic Press.
3. Bell, G. I. ∧ Glasstone, S. 1970 Nuclear Reactor Theory. New York: Van Nostrand Reinhold.
4. Kaper, H. G. 1977 Asymptotic evaluation of two families of integrals. J. Math. Analysis Applic. 59, 415-422.
5. Kaper, H. G. ∧ Kellogg, R. B. 1977 Asymptotic behavior of the solution of the integral transport equation in slab geometry. SIAM J. Appl. Math. 32, 191-200.
6. Mikhlin, S. G. 1965 Multidimensional Singular Integrals and Integral Equations. Oxford: Pergamon Press.
7. Pitkaranta, J. 1978 Asymptotic behavior of the solution of the integral transport equation in the vicinity of a curved material interface, Technical Note BN-870, Institute for Physical Science and Technology, University of Maryland, to appear in SIAM J. Appl. Math.
8. Richter, G. 1976 On weakly singular Fredholm integral equations with displacement kernels. J. Math. Analysis Applic. 55, 32-42.