ALEX 2018 Workshop: Abstracts

Differential sensitivity in rate independent evolutions

Martin Brokate

TU München, Faculty of Mathematics (Germany)

Rate independent evolutions are inherently nonsmooth. Commonly, they are described via evolution variational inequalities, hysteresis operators, or energetic systems. In this talk we present some progress towards obtaining derivatives of their solution operators with respect to the driving functions and initial conditions, as well as some consequences.