Tikhonov type regularization for unbounded operators

Authors

DOI:

https://doi.org/10.23755/rm.v41i0.663

Keywords:

densely defined operator, closed operator, Tikhonov type regularization

Abstract

In this paper, we introduce a Tikhonov type regularization method for an ill-posed operator equation T x = y, where T is a closed densely defined unbounded operator on a Hilbert space H.

References

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S. H Kulkarni and M. T Nair. A characterization of closed range operators. Indian J.Pure Appl. Math., 31:353–361, 2000.

S. H Kulkarni and G Ramesh. Projection method for inversion of unbounded operators. Indian J.Pure Appl. Math, 39:185–202, 2008.

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A, G Rahim. Ill-posed problems with unbounded operators. Journal of mathematical analysis and application, 325:490–495, 2007.

M. T Nair S. H Kulkarni and G Ramesh. Some properties of unbounded operators with closed range. Proc.Indian Acadamy of science, 118:613–625, 2008

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Published

2021-12-31

Issue

Vol. 41 (2021)

Section

Volume 41-2021

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