summary:We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces $W^{1,p}(0,T)$ for $1\leq p 0$. Examples show that this result is optimal
summary:We consider a class of Nemytskii superposition operators that covers the nonlinear part of t...
We consider symbols a(x, xi) with a finite number of bounded derivatives with respect to xi and of w...
In this work, we obtain continuity results on Holder spaces for operators belonging to a Weyl-Horman...
summary:We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are contin...
The most natural and important topologies connected with hysteresis operators are those induced by u...
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operat...
We discuss mapping and Lipschitz continuity properties of the Preisach model for hysteresis in the s...
Motivated by the sweeping processes, we develop an abstract theory of continuous hysteresis operator...
In Brokate-Sprekels 1996, it is shown that hysteresis operators acting on scalar-valued, continuous,...
As shown by Krasnosel" skii, the classical Preisach model allows to construct a hysteresis operator ...
Rate independent operators naturally arise in the mathematical analysis of hysteresis. Among rate in...
A theorem due to Mayergoyz states that a hysteresis operator is a Preisach operator if and only if i...
summary:The recent development of mathematical methods of investigation of problems with hysteresis ...
summary:It is known that the vector stop operator with a convex closed characteristic $Z$ of class $...
We give sufficient conditions for a homogeneous superposition operator to be a continuous mapping be...
summary:We consider a class of Nemytskii superposition operators that covers the nonlinear part of t...
We consider symbols a(x, xi) with a finite number of bounded derivatives with respect to xi and of w...
In this work, we obtain continuity results on Holder spaces for operators belonging to a Weyl-Horman...
summary:We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are contin...
The most natural and important topologies connected with hysteresis operators are those induced by u...
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operat...
We discuss mapping and Lipschitz continuity properties of the Preisach model for hysteresis in the s...
Motivated by the sweeping processes, we develop an abstract theory of continuous hysteresis operator...
In Brokate-Sprekels 1996, it is shown that hysteresis operators acting on scalar-valued, continuous,...
As shown by Krasnosel" skii, the classical Preisach model allows to construct a hysteresis operator ...
Rate independent operators naturally arise in the mathematical analysis of hysteresis. Among rate in...
A theorem due to Mayergoyz states that a hysteresis operator is a Preisach operator if and only if i...
summary:The recent development of mathematical methods of investigation of problems with hysteresis ...
summary:It is known that the vector stop operator with a convex closed characteristic $Z$ of class $...
We give sufficient conditions for a homogeneous superposition operator to be a continuous mapping be...
summary:We consider a class of Nemytskii superposition operators that covers the nonlinear part of t...
We consider symbols a(x, xi) with a finite number of bounded derivatives with respect to xi and of w...
In this work, we obtain continuity results on Holder spaces for operators belonging to a Weyl-Horman...
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