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On rate-independent hysteresis models

✍ Scribed by Alexander Mielke; Florian Theil

Publisher: SP Birkhäuser Verlag Basel
Year: 2004
Tongue: English
Weight: 368 KB
Volume: 11
Category: Article
ISSN: 1021-9722
DOI: 10.1007/s00030-003-1052-7

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This note concerns rate independent operators R : Lip(0, T ) -→ BV (0, T ) ∩ C(0, T ) that are continuous with respect to the strict metric of BV . In a recent paper we proved that R can be continuously extended to all of BV (0, T ) provided it is locally isotone, a slightly weaker condition than th