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Lipschitz continuous data dependence of sweeping processes in BV spaces
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SYSNO ASEP 0357375 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Lipschitz continuous data dependence of sweeping processes in BV spaces Author(s) Krejčí, Pavel (MU-W) RID, SAI, ORCID
Roche, T. (DE)Source Title Discrete and Continuous Dynamical Systems-Series B. - : AIMS Press - ISSN 1531-3492
Roč. 15, č. 3 (2011), s. 637-650Number of pages 14 s. Language eng - English Country US - United States Keywords rate independence ; discontinuous sweeping process ; Kurzweil integral Subject RIV BA - General Mathematics R&D Projects GAP201/10/2315 GA ČR - Czech Science Foundation (CSF) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000288075700007 EID SCOPUS 79954502072 DOI 10.3934/dcdsb.2011.15.637 Annotation For a rate independent sweeping process with a time dependent smooth convex constraint, we prove that the Kurzweil solution for possibly discontinuous inputs depends locally Lipschitz continuously on the data in terms of the BV-norm. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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