1 citations · 1 across the 4 of their papers we have counts for
4 papers
Existence and uniqueness of solutions to rate independent systems with history variable
Livia Betz
This paper investigates rate-independent systems (RIS), where the dissipation functional depends not only on the rate but also on the history of the state. The latter is expressed…
Strong stationarity for the control of viscous history-dependent evolutionary VIs arising in applications
Livia Betz
This paper addresses optimal control problems governed by history-dependent EVIs with viscosity. One of the prominent properties of the state system is its non-smooth nature, so th…
Optimal control of a viscous damage model with fatigue
Livia Betz
Motivated by fatigue damage models, this paper addresses optimal control problems governed by a non-smooth system featuring two non-differentiable mappings. This consists of a coup…
Strong stationarity for optimal control problems with non-smooth integral equation constraints: Application to continuous DNNs
Harbir Antil, Livia Betz, Daniel Wachsmuth
Motivated by the residual type neural networks (ResNet), this paper studies optimal control problems constrained by a non-smooth integral equation. Such non-smooth equations, for i…