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

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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