-
Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators
Applied Mathematics & Optimization 81(1), p.23-62,
2019
bibtex
@ARTICLE{ChristofWachsmuth:2019:1,
AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2019-01},
DOI = {10.1007/s00245-018-09553-y},
EPRINT = {1711.02720},
EPRINTTYPE = {arXiv},
JOURNALTITLE = {Applied Mathematics \& Optimization},
NUMBER = {1},
PAGES = {23--62},
TITLE = {Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators},
VOLUME = {81},
}
-
Optimality conditions for a class of inverse optimal control problems with partial differential equations
Optimization 68(2--3), p.615-643,
2018
bibtex
@ARTICLE{HarderWachsmuth:2018:3,
AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
PUBLISHER = {Informa UK Limited},
DATE = {2018-08},
DOI = {10.1080/02331934.2018.1495205},
JOURNALTITLE = {Optimization},
NUMBER = {2--3},
PAGES = {615--643},
TITLE = {Optimality conditions for a class of inverse optimal control problems with partial differential equations},
VOLUME = {68},
}
-
The limiting normal cone of a complementarity set in Sobolev spaces
Optimization, p.1-25,
2018
bibtex
@ARTICLE{HarderWachsmuth:2018:4,
AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
PUBLISHER = {Informa UK Limited},
DATE = {2018-07},
DOI = {10.1080/02331934.2018.1484467},
JOURNALTITLE = {Optimization},
PAGES = {1--25},
TITLE = {The limiting normal cone of a complementarity set in Sobolev spaces},
}
-
Second-order analysis and numerical approximation for bang-bang bilinear control problems
SIAM Journal on Control and Optimization 56(6), p.4203-4227,
2018
bibtex
@ARTICLE{CasasWachsmuthWachsmuth:2018:1,
AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
DATE = {2018-01},
DOI = {10.1137/17m1139953},
JOURNALTITLE = {SIAM Journal on Control and Optimization},
NUMBER = {6},
PAGES = {4203--4227},
TITLE = {Second-order analysis and numerical approximation for bang-bang bilinear control problems},
VOLUME = {56},
}
-
No-gap second-order conditions via a directional curvature functional
SIAM Journal on Optimization 28(3), p.2097-2130,
2018
bibtex
@ARTICLE{ChristofWachsmuth:2018:1,
AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
DATE = {2018},
DOI = {10.1137/17M1140418},
JOURNALTITLE = {SIAM Journal on Optimization},
NUMBER = {3},
PAGES = {2097--2130},
TITLE = {No-gap second-order conditions via a directional curvature functional},
VOLUME = {28},
}
-
On the non-polyhedricity of sets with upper and lower bounds in dual spaces
GAMM-Mitteilungen 40(4), p.339-350,
2018
bibtex
@ARTICLE{ChristofWachsmuth:2018:2,
AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
DATE = {2018},
DOI = {10.1002/gamm.201740005},
JOURNALTITLE = {GAMM-Mitteilungen},
NUMBER = {4},
PAGES = {339--350},
TITLE = {On the non-polyhedricity of sets with upper and lower bounds in dual spaces},
VOLUME = {40},
}
-
Legendre forms in reflexive Banach spaces
Zeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388,
2018
bibtex
@ARTICLE{Harder:2018:1,
AUTHOR = {Harder, Felix},
DATE = {2018},
DOI = {10.4171/zaa/1619},
JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen},
NUMBER = {4},
PAGES = {377--388},
TITLE = {Legendre forms in reflexive Banach spaces},
VOLUME = {37},
}
-
Comparison of optimality systems for the optimal control of the obstacle problem
GAMM-Mitteilungen 40(4), p.312-338,
2018
bibtex
@ARTICLE{HarderWachsmuth:2018:5,
AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
DATE = {2018},
DOI = {10.1002/gamm.201740004},
JOURNALTITLE = {GAMM-Mitteilungen},
NUMBER = {4},
PAGES = {312--338},
TITLE = {Comparison of optimality systems for the optimal control of the obstacle problem},
VOLUME = {40},
}
-
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry
Set-Valued and Variational Analysis 27(1), p.265-294,
2017
bibtex
@ARTICLE{MehlitzWachsmuth:2017:1,
AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2017-12},
DOI = {10.1007/s11228-017-0464-1},
JOURNALTITLE = {Set-Valued and Variational Analysis},
NUMBER = {1},
PAGES = {265--294},
TITLE = {The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry},
VOLUME = {27},
}
-
Sufficient second-order conditions for bang-bang control problems
SIAM Journal on Control and Optimization 55(5), p.3066-3090,
2017
bibtex
@ARTICLE{CasasWachsmuthWachsmuth:2017:1,
AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
DATE = {2017},
DOI = {10.1137/16M1099674},
JOURNALTITLE = {SIAM Journal on Control and Optimization},
NUMBER = {5},
PAGES = {3066--3090},
TITLE = {Sufficient second-order conditions for bang-bang control problems},
VOLUME = {55},
}
-
Optimal control of a rate-independent evolution equation via viscous regularization
Discrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485,
2017
bibtex
@ARTICLE{StefanelliWachsmuthWachsmuth:2017:1,
AUTHOR = {Stefanelli, Ulisse and Wachsmuth, Daniel and Wachsmuth, Gerd},
DATE = {2017},
DOI = {10.3934/dcdss.2017076},
JOURNALTITLE = {Discrete and Continuous Dynamical Systems - Series S},
NUMBER = {6},
PAGES = {1467--1485},
TITLE = {Optimal control of a rate-independent evolution equation via viscous regularization},
VOLUME = {10},
}
-
The limiting normal cone to pointwise defined sets in Lebesgue spaces
Set-Valued and Variational Analysis, p.1-19,
2016
bibtex
@ARTICLE{MehlitzWachsmuth:2016:2,
AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
DATE = {2016},
DOI = {10.1007/s11228-016-0393-4},
JOURNALTITLE = {Set-Valued and Variational Analysis},
PAGES = {1--19},
TITLE = {The limiting normal cone to pointwise defined sets in Lebesgue spaces},
}
