Geodesic
A remark on the local Lipschitz continuity of vector hysteresis operators
Applications of Mathematics, Tome 46 (2001) no. 1, pp. 1-11.

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It is known that the vector stop operator with a convex closed characteristic $Z$ of class $C^1$ is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping $n$ is Lipschitz continuous on the boundary $\partial Z$ of $Z$. We prove that in the regular case, this condition is also necessary.
DOI : 10.1023/A:1013733403484
Classification : 34C55, 47J40, 49N60, 58E35, 74C05, 78A25
Keywords: variational inequality; hysteresis operators 
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Krejčí, Pavel. A remark on the local Lipschitz continuity of vector hysteresis operators. Applications of Mathematics, Tome 46 (2001) no. 1, pp. 1-11. doi : 10.1023/A:1013733403484. http://geodesic.mathdoc.fr/articles/10.1023/A:1013733403484/

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