Continuous Dependence on Modeling in Banach Space Using a Logarithmic Approximation

Matthew Fury (), Beth Campbell Hetrick () and Walter Huddell ()
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Matthew Fury: Penn State Abington
Beth Campbell Hetrick: Gettysburg College
Walter Huddell: Eastern University

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 653-663 from Springer

Abstract: Abstract We prove regularization for certain ill-posed problems in Banach space by considering small changes in the model. The problems are of the form d u ∕ d t = A u , 0 ≤ t 0 which approximates A in some sense as the parameter β tends to zero. The particular logarithmic approximation we apply originates from a modified quasi-reversibility method recently introduced by Boussetila and Rebbani.

Keywords: Continuous Dependence; Logarithmic Approximation; Banach Space; Quasi-reversibility Method; Approximate Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_59

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DOI: 10.1007/978-3-319-30379-6_59

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