Abstract
The Duhem operator M: (u, w°) ↦ w is defined by a Cauchy problem of the form
with gl and g2 given continuous functions. Continuity properties of M in the Sobolev spaces W1,P(0,T) (1 ≤ p < +∞), endowed with the strong topology, and existence of a continuous extension of M to C0([0, T]) n BV(0,T) are proved.
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© 1994 Springer-Verlag Berlin Heidelberg
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Visintin, A. (1994). The Duhem Model. In: Differential Models of Hysteresis. Applied Mathematical Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11557-2_8
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DOI: https://doi.org/10.1007/978-3-662-11557-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08132-3
Online ISBN: 978-3-662-11557-2
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