In some recent papers, the concept of outward pointing property has been used as a tool within the mathematical investigation of equations involving hysteresisoperatorsandhasbeenconsideredforthestopoperator, theplayoperator, Prandtl-Ishlinski˘ı operators, Preisach and inverse Preisach operators. In this paper we show, as an application of this theory, a stability result for solutions of a PDE containing the inverse of a Preisach hysteresis operator and appearing in the context of electromagnetic processes.
Long time behaviour for a PDE with hysteresis arising in electromagnetism / Eleuteri, Michela. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - 19 (1):(2009), pp. 71-88.
Long time behaviour for a PDE with hysteresis arising in electromagnetism
ELEUTERI, Michela
2009
Abstract
In some recent papers, the concept of outward pointing property has been used as a tool within the mathematical investigation of equations involving hysteresisoperatorsandhasbeenconsideredforthestopoperator, theplayoperator, Prandtl-Ishlinski˘ı operators, Preisach and inverse Preisach operators. In this paper we show, as an application of this theory, a stability result for solutions of a PDE containing the inverse of a Preisach hysteresis operator and appearing in the context of electromagnetic processes.
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