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math.OC2017
Analysis of optimal control problems of semilinear elliptic equations by BV-functions
Eduardo Casas, Karl Kunisch
Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, a…
math.OC2017
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
We consider bilinear optimal control problems, whose objective functionals do not depend on the controls. Hence, bang-bang solutions will appear. We investigate sufficient second-o…