Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions

@inproceedings{Egger2009NonlinearRM,
  title={Nonlinear regularization methods for ill-posed problems with piecewise constant or strongly varying solutions},
  author={Herbert Egger and Antonio Leit{\~a}o},
  year={2009}
}
In this paper we consider nonlinear ill-posed problems with piecewise constant or strongly varying solutions. A class of nonlinear regularization methods is proposed, in which smooth approximations to the Heavyside function are used to reparameterize functions in the solution space by an auxiliary function of levelset type. The analysis of the resulting… CONTINUE READING