LIPSCHITZ CONTINUOUS DATA DEPENDENCE OF SWEEPING PROCESSES IN BV SPACES

作者：Krejci Pavel^*; Roche Thomas

来源：Discrete and Continuous Dynamical Systems-Series B, 2011, 15(3): 637-650.

DOI：10.3934/dcdsb.2011.15.637

• Rate independence
• discontinuous sweeping process
• Kurzweil integral

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.

• 出版日期2011-3