Abstract
In this paper a theoretical and numerical a nalysis of the regularization problem to minimize ∥Tu∥2 subject to the constraint ∥AX (u) − f∥2 ≤ ε, where T ∈ ℒ (U, V), A ∈ ℒ (Rn, Rn), X ∈ ℒ(U, Rn), u ∈ U, f ∈ Rn, (U, V)Hilbert spaces and Rn Euclidean space), has been developed. These results have been ap — plied to identify a flood wave propagation li — near model and to study multicompartiment models for populations dynamics in ecosystems.
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© 1975 Springer Basel AG
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Galligani, I. (1975). A Regularization Method for the Identification of Environmental Systems. In: Numerische Behandlung von Differentialgleichungen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 27. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5532-7_4
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DOI: https://doi.org/10.1007/978-3-0348-5532-7_4
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-5532-7
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