Continuity of the non-convex play operator in the space of rectifiable curves
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F23%3AA0000137" target="_blank" >RIV/47813059:19610/23:A0000137 - isvavai.cz</a>
Result on the web
<a href="https://articles.math.cas.cz/10.21136/AM.2023.0257-22" target="_blank" >https://articles.math.cas.cz/10.21136/AM.2023.0257-22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/AM.2023.0257-22" target="_blank" >10.21136/AM.2023.0257-22</a>
Alternative languages
Result language
angličtina
Original language name
Continuity of the non-convex play operator in the space of rectifiable curves
Original language description
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applications of Mathematics
ISSN
0862-7940
e-ISSN
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Volume of the periodical
68
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
24
Pages from-to
727-750
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85175636136