Explicit and Implicit Non-convex Sweeping Processes in the Space of Absolutely Continuous Functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F21%3A00355526" target="_blank" >RIV/68407700:21110/21:00355526 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/21:00550720
Result on the web
<a href="https://doi.org/10.1007/s00245-021-09801-8" target="_blank" >https://doi.org/10.1007/s00245-021-09801-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00245-021-09801-8" target="_blank" >10.1007/s00245-021-09801-8</a>

Result language
angličtina
Original language name
Explicit and Implicit Non-convex Sweeping Processes in the Space of Absolutely Continuous Functions
Original language description
We show that sweeping processes with possibly non-convex prox-regular constraints generate a strongly continuous input-output mapping in the space of absolutely continuous functions. Under additional smoothness assumptions on the constraint we prove the local Lipschitz continuity of the input-output mapping. Using the Banach contraction principle, we subsequently prove that also the solution mapping associated with the state-dependent problem is locally Lipschitz continuous.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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