Two-speed solutions to non-convex rate-independent systems

Filip Rindler, Sebastian Schwarzacher, Juan J. L. Velazquez

We consider evolutionary PDE inclusions of the form \[ -λ\dot{u}_λ+ Δu - \mathrm{D} W_0(u) + f \ni \partial \mathcal{R}_1(\dot{u}) \qquad\text{in $(0,T)\times \Omega$,} \] where $\math…