Article
MSC:
34C55,
47J40,
49N60,
58E35,
74C05,
78A25 | MR 1808426 | Zbl 1067.34503 | DOI: 10.1023/A:1013733403484
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Keywords:
variational inequality; hysteresis operators
variational inequality; hysteresis operators
Summary:
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.
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