@article{NatemeyerWachsmuth2021,
  author    = {Natemeyer, Carolin and Wachsmuth, Daniel},
  title     = {A proximal gradient method for control problems with non-smooth and non-convex control cost},
  series = {Computational Optimization and Applications},
  volume    = {80},
  journal   = {Computational Optimization and Applications},
  number    = {2},
  issn      = {1573-2894},
  doi       = {10.1007/s10589-021-00308-0},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-269069},
  pages     = {639-677},
  year      = {2021},
  abstract  = {We investigate the convergence of the proximal gradient method applied to control problems with non-smooth and non-convex control cost. Here, we focus on control cost functionals that promote sparsity, which includes functionals of L\(^{p}\)-type for p\in [0,1). We prove stationarity properties of weak limit points of the method. These properties are weaker than those provided by Pontryagin's maximum principle and weaker than L-stationarity.},
  language  = {en}
}