In some recent papers, the concept of outward pointing operators has been used as a tool within the mathematical investigation of equations involving hysteresis operators and has been considered for the stop operator, the play operator, Prandtl-Ishlinskiidotlesš operators and Preisach operators. Now, for inverse Preisach operators conditions will be discussed which ensure that the outward pointing property is satisfied. As an application of the theory, a stability result for solutions of a P.D.E. with hysteresis appearing in the context of electromagnetic processes is derived. © 2007 Elsevier B.V. All rights reserved.
Outward pointing inverse Preisach operators / Eleuteri, Michela; Klein, Olaf; Krejčí, Pavel. - In: PHYSICA. B, CONDENSED MATTER. - ISSN 0921-4526. - 403:(2008), pp. 254-256. [10.1016/j.physb.2007.08.022]
Outward pointing inverse Preisach operators
ELEUTERI, Michela;
2008
Abstract
In some recent papers, the concept of outward pointing operators has been used as a tool within the mathematical investigation of equations involving hysteresis operators and has been considered for the stop operator, the play operator, Prandtl-Ishlinskiidotlesš operators and Preisach operators. Now, for inverse Preisach operators conditions will be discussed which ensure that the outward pointing property is satisfied. As an application of the theory, a stability result for solutions of a P.D.E. with hysteresis appearing in the context of electromagnetic processes is derived. © 2007 Elsevier B.V. All rights reserved.
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