| Title:
|
$\rm BV$ solutions of rate independent differential inclusions (English) |
| Author:
|
Krejčí, Pavel |
| Author:
|
Recupero, Vincenzo |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
139 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
607-619 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a class of evolution differential inclusions defining the so-called stop operator arising in elastoplasticity, ferromagnetism, and phase transitions. These differential inclusions depend on a constraint which is represented by a convex set that is called the characteristic set. For $\rm BV$ (bounded variation) data we compare different notions of $\rm BV$ solutions and study how the continuity properties of the solution operators are related to the characteristic set. In the finite-dimensional case we also give a geometric characterization of the cases when these kinds of solutions coincide for left continuous inputs. (English) |
| Keyword:
|
differential inclusion |
| Keyword:
|
stop operator |
| Keyword:
|
rate independence |
| Keyword:
|
convex set |
| MSC:
|
34A60 |
| MSC:
|
34G25 |
| MSC:
|
52B99 |
| MSC:
|
74C05 |
| idZBL:
|
Zbl 06433685 |
| idMR:
|
MR3306851 |
| DOI:
|
10.21136/MB.2014.144138 |
| . |
| Date available:
|
2015-02-04T09:16:44Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144138 |
| . |
| Reference:
|
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