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Continuity of hysteresis operators in Sobolev spaces

Pavel KrejčíVladimír Lovicar — 1990

Aplikace matematiky

We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces W 1 , p ( 0 , T ) for 1 p < + , (localy) Lipschitz continuous in W 1 , 1 ( 0 , T ) and discontinuous in W 1 , ( 0 , T ) for arbitrary T > 0 . Examples show that this result is optimal.

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