# A remark on the local Lipschitz continuity of vector hysteresis operators

Applications of Mathematics (2001)

- Volume: 46, Issue: 1, page 1-11
- ISSN: 0862-7940

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topKrejčí, Pavel. "A remark on the local Lipschitz continuity of vector hysteresis operators." Applications of Mathematics 46.1 (2001): 1-11. <http://eudml.org/doc/33074>.

@article{Krejčí2001,

abstract = {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.},

author = {Krejčí, Pavel},

journal = {Applications of Mathematics},

keywords = {variational inequality; hysteresis operators; variational inequality; hysteresis operators},

language = {eng},

number = {1},

pages = {1-11},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A remark on the local Lipschitz continuity of vector hysteresis operators},

url = {http://eudml.org/doc/33074},

volume = {46},

year = {2001},

}

TY - JOUR

AU - Krejčí, Pavel

TI - A remark on the local Lipschitz continuity of vector hysteresis operators

JO - Applications of Mathematics

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 46

IS - 1

SP - 1

EP - 11

AB - 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.

LA - eng

KW - variational inequality; hysteresis operators; variational inequality; hysteresis operators

UR - http://eudml.org/doc/33074

ER -

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