Evolution variational inequalities and multidimensional hysteresis operators.

By P. Krejčí. 2005

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BV SOLUTIONS AND VISCOSITY APPROXIMATIONS OF RATE-INDEPENDENT SYSTEMS ∗ (2009, unknown): “Published December 23, 2010.”
Chapter 6 – Evolution of Rate-Independent Systems (2005, background): “5 In [Kre99] the continuity results are formulated in terms of the play operator P and the stop operator S and written in the Hilbert space setting with A = 1 and 〈y1|y2〉 = 〈Ay1, y2〉.”
Optimal control of ODE systems involving a rate independent variational inequality (2012, background): “But this phenomenon again and again occurs in the analysis of rate-independent situations, compare [3].”
Γ-limits and relaxations for rate-independent evolutionary problems (2008, background): “Under the assumptions that all the sets Ck contain 0, are closed and convex, it is shown in [20] that Hausdorff convergence of Ck to C∞ implies that PCk (0, ) converges to PC∞(0, ) in C0([0, T ], H).”