Ill-posed equations with transformed argument

Abstract and Applied Analysis

Volumn 2003, Issue 13, 2003, Pages 785-791

  Gramsch, Simone ^a   Schock, Eberhard ^a  

^a University of Koblenz Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842554199     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503303021     Document Type: Review

References (11)

1. J. Cheng and M. Yamamoto, One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization, Inverse Problems 16 (2000), no. 4, L31-L38.
2. H. W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems, Mathematics and Its Applications, vol. 375, Kluwer Academic Publishers, Dordrecht, 1996.
3. M. Hegland, Variable Hilbert scales and their interpolation inequalities with applications to Tikhonov regularization, Appl. Anal. 59 (1995), no. 1-4, 207-223.
4. V. K. Ivanov, V. V. Vasin, and V. P. Tanana, Theory of Linear Ill-Posed Problems and Its Applications, Nauka, Moscow, 1978 (Russian).
5. O. A. Liskovets, Regularization of equations with a dosed linear operator, Differential Equations 7 (1970), 972-976.
6. D. Przeworska-Rolewicz, Equations with Transformed Argument, PWN - Polish Scientific Publishers, Warsaw, 1973.
7. A. G. Ramm, Regularization of ill-posed problems with unbounded operators, J. Math. Anal. Appl. 271 (2002), no. 2, 542-545.
8. F. Riesz and B. Sz.-Nagy, Functional Analysis, Frederick Ungar Publishing, New York, 1955, Translated from the 2nd French edition.
9. E. Schock and V. Q. Phóng, Regularization of ill-posed problems involving unbounded operators in Banach spaces, Hokkaido Math. J. 20 (1991), no. 3, 559-569.
10. Z. Semadeni, Banach Spaces of Continuous Functions. Vol. I, Monografie Matematyczne, vol. 55, PWN-Polish Scientific Publishers, Warsaw, 1971.
11. J. von Neumann, Über adjungierte Funktionaloperatoren, Ann. of Math. (2) 33 (1932), 294-310 (German).