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Sobolev and strict continuity of general hysteresis operators

✍ Scribed by Vincenzo Recupero

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
154 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The most natural and important topologies connected with hysteresis operators are those induced by uniform convergence, W^1, 1^‐convergence, and strict convergence. Indeed the supremum norm and the variation are invariant under reparameterization. We prove a general result that implies that if a hysteresis operator is continuous with respect to the topology of W^1, 1^, then it is continuous with respect to the strict topology. Copyright Β© 2009 John Wiley & Sons, Ltd.

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