Abstract
In this article an inverse problem for determining the creep function is under consideration. The problem is posed for the model of string oscillation. Boundary data (perturbation in two points of the string) are given close to a singular function. A certain method of solution is proposed and the estimation of the error is obtained. Errors of the method and boundary data have a common order in the maximum-norms, which implies that the problem is well-posed.
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References
Janno, J., Reduction of an inverse problem of medium with memory to integral equations, Acta et Commentationes Universitatis Tartuensis 715 (1985), 21–29. (in Russian, summary in English)
Janno, J., Regularization of a Volterra equation of the first kind which is equivalent to an equation of the third kind, Acta et Commentationes Universitatis Tartuensis 762 (1987), 16–30. (in Russian, summary in English)
Janno, J., On an inverse problem for a model of radially wave propagation in the media with memory, Numerical methods and optimization Vol. 2, Valgus, Tallinn, 1990, pp. 4–19.
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© 1991 Springer Basel AG
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Janno, J. (1991). On an inverse problem for determining the creep function with a given boundary data close to a singular function. In: Desch, W., Kappel, F., Kunisch, K. (eds) Estimation and Control of Distributed Parameter Systems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6418-3_13
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DOI: https://doi.org/10.1007/978-3-0348-6418-3_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2676-0
Online ISBN: 978-3-0348-6418-3
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