| Title:
|
A remark on the local Lipschitz continuity of vector hysteresis operators (English) |
| Author:
|
Krejčí, Pavel |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
1-11 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
variational inequality |
| Keyword:
|
hysteresis operators |
| MSC:
|
34C55 |
| MSC:
|
47J40 |
| MSC:
|
49N60 |
| MSC:
|
58E35 |
| MSC:
|
74C05 |
| MSC:
|
78A25 |
| idZBL:
|
Zbl 1067.34503 |
| idMR:
|
MR1808426 |
| DOI:
|
10.1023/A:1013733403484 |
| . |
| Date available:
|
2009-09-22T18:05:30Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134455 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
