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- W4322810808 abstract "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 that the application of standard adjoint calculus is excluded. We extend the results from [7] by showing that history-dependent EVIs with viscosity can be formulated as non-smooth ODEs in Hilbert space in a general setting. The Hadamard directional differentiability of the solution map is investigated. Based on previous results, this allows us to establish strong stationary conditions for two different viscous damage models with fatigue." @default.
- W4322810808 created "2023-03-03" @default.
- W4322810808 creator A5037258270 @default.
- W4322810808 date "2023-02-28" @default.
- W4322810808 modified "2023-09-27" @default.
- W4322810808 title "Strong stationarity for the control of viscous history-dependent evolutionary VIs arising in applications" @default.
- W4322810808 doi "https://doi.org/10.48550/arxiv.2302.14385" @default.
- W4322810808 hasPublicationYear "2023" @default.
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