Fredholm Properties of Unbounded Operators on Interpolation Spaces

2009 ◽  
pp. 185-210
Author(s):  
Kerstin Günther
Keyword(s):  
Interpolation Spaces ◽  
Unbounded Operators

Regularization of Some One-Dimensional Inverse Problems for Identification of Nonlinear Surface Phenomena

1995 ◽  
Author(s):  
C. W. Groetsch ◽  
Martin Hanke
Keyword(s):  
Inverse Problems ◽  
Model Identification ◽  
Surface Phenomena ◽  
Unbounded Operators ◽  
General Technique ◽  
Regularization Technique ◽  
One Dimensional ◽  
Data Errors ◽  
Ill Posed ◽  
Nonlinear Surface

Abstract A simple numerical method for some one-dimensional inverse problems of model identification type arising in nonlinear heat transfer is discussed. The essence of the method is to express the nonlinearity in terms of an integro-differential operator, the values of which are approximated by a linear spline technique. The inverse problems are mildly ill-posed and therefore call for regularization when data errors are present. A general technique for stabilization of unbounded operators may be applied to regularize the process and a specific regularization technique is illustrated on a model problem.

Functional Calculus for Unbounded Operators

1990 ◽  
pp. 323-340
Author(s):  
Israel Gohberg ◽  
Seymour Goldberg ◽  
Marinus A. Kaashoek
Keyword(s):  
Functional Calculus ◽  
Unbounded Operators

scholarly journals Quasilinear evolutionary equations and continuous interpolation spaces

2004 ◽  
Vol 196 (2) ◽  
pp. 418-447 ◽  
Author(s):  
Philippe Clément ◽  
Stig-Olof Londen ◽  
Gieri Simonett
Keyword(s):  
Interpolation Spaces ◽  
Evolutionary Equations ◽  
Continuous Interpolation

General Theory of Unbounded Operators in Hilbert Spaces

1996 ◽  
pp. 1-40
Author(s):  
Yurij M. Berezansky ◽  
Zinovij G. Sheftel ◽  
Georgij F. Us
Keyword(s):  
General Theory ◽  
Hilbert Spaces ◽  
Unbounded Operators
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