WIAS Preprint No. 463, (1998)
Tikhonov regularization for an integral equation of the first kind with logarithmic kernel
Authors
- Bruckner, Gottfried
- Cheng, Jin
2010 Mathematics Subject Classification
- 45A05 65R30
Keywords
- integral equation of the first kind, analytic kernel, Tikhonov regularization, convergence rate
DOI
Abstract
In this paper, we discuss stability and Tikhonov regularization for the integral equation of the first kind with logarithmic kernel. Since the kernel is analytic in our case, the problem is severely ill-posed. We prove a convergence rate for the regularized solution and describe a method for its numerical calculation.
Appeared in
- J. Inverse Ill-posed Problems, 8(2000), pp. 1-11
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