Lipschitz continuous data dependence of sweeping processes in BV spaces

0357375 - MÚ 2013 RIV US eng J - Journal Article
Krejčí, Pavel - Roche, T.
Lipschitz continuous data dependence of sweeping processes in BV spaces.
Discrete and Continuous Dynamical Systems-Series B. Roč. 15, č. 3 (2011), s. 637-650. ISSN 1531-3492. E-ISSN 1553-524X
R&D Projects: GA ČR GAP201/10/2315; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : rate independence * discontinuous sweeping process * Kurzweil integral
Subject RIV: BA - General Mathematics
Impact factor: 0.921, year: 2011
http://aimsciences.org/journals/pdfs.jsp?paperID=5943&mode=full

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.
Permanent Link: http://hdl.handle.net/11104/0195664