Nonlinear semigroup methods in problems with hysteresis

Jana Kopfová

doi:10.3934/proc.2007.2007.580

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2007, Volume 2007: 580-589. Doi: 10.3934/proc.2007.2007.580 open access

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Nonlinear semigroup methods in problems with hysteresis

Jana Kopfová^1,

1.
Mathematical Institute of the Silesian University, Na Rybníčku 1, 746 01 Opava

Received: September 2006

Revised: February 2007

Published: September 2007

Abstract / Introduction Related Papers Cited by

Abstract

Results from a nonlinear semigroup theory are applied to get ex- istence and uniqueness for PDEs with hysteresis. The hysteresis nonlinearity considered is of the generalized play operator type, but can be easily extended to a generalized Prandtl-Ishlinskii operator of play type, both possibly discontinuous.

Keywords:

Hysteresis,
nonlinear semigroups.

Mathematics Subject Classification: 47J40, 47H06.

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