Viscous approximations of non-convex sweeping processes in the space of regulated functions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00576359" target="_blank" >RIV/67985840:_____/23:00576359 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11228-023-00695-y" target="_blank" >https://doi.org/10.1007/s11228-023-00695-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11228-023-00695-y" target="_blank" >10.1007/s11228-023-00695-y</a>
Alternative languages
Result language
angličtina
Original language name
Viscous approximations of non-convex sweeping processes in the space of regulated functions
Original language description
Vanishing viscosity approximations are considered here for discontinuous sweeping processes with non-convex constraints. It is shown that they are well-posed for sufficiently small viscosity parameters, and that their solutions converge pointwise, as the viscosity parameter tends to zero, to the left-continuous solution to the sweeping process in the Kurzweil integral setting. The convergence is uniform if the input is continuous.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA20-14736S" target="_blank" >GA20-14736S: Hysteresis modeling in mathematical engineering</a><br>
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
Set-Valued and Variational Analysis
ISSN
1877-0533
e-ISSN
1877-0541
Volume of the periodical
31
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
38
Pages from-to
34
UT code for WoS article
001071574000002
EID of the result in the Scopus database
2-s2.0-85171613488