MURPHYS-HSFS-2014 - 7th International Workshop on Multi-Rate Processes & Hysteresis, 2nd International Workshop on Hysteresis and Slow-Fast Systems, April 7-11, 2014 - Abstract

Recupero, Vincenzo

Vector and metric hysteresis evolution processes

We consider some classes of rate independent evolution problems and we put them in the general framework of the hysteresis operators in metric spaces. This setting has the advantage to gather together different problems and in some cases allows easily to infer new continuity properties of the solution operators. Particular attention is devoted to the vector play operator.

it References. beginitemize item[[1]] emphV. Recupero: BV solutions of rate independent variational inequalities, Ann. Sc. Norm. Super. Pisa Cl. Sc. (5), 10 (2011), 269--315. item[[2]] emphV. Recupero: A continuity method for sweeping processes, J. Differential Equations, 251 (2011), 2125--2142. item[[3]] emphV. Recupero, emphExtending vector hysteresis operators, J. Phys.: Conf. Ser., 268 (2011), 0120124. item[[4]] emphP. Krejčí, V. Recupero: Comparing BV solutions of rate independent processes, to appear in J. Convex Anal. enditemize