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Karl Kunisch

 

Karl Kubisch

Karl Kunisch

 

  • Karl Kunisch is Professor of Mathematics at the Institute for Mathematics and Scientific Computing at Karl-Franzens-University Graz, and Scientific Director at the Radon Institute of the Austrian Academy of Sciences in Linz.
  • In his research he focuses on optimal control of infinite dimensional systems with constraints given by partial differential equations. A special interest lies in the application of mathematical optimization techniques to problems in the biomedical sciences.
  • Prof. Kunisch published two monographs and about 230 research articles. He is board member of numerous mathematical journals, including the Journal of the European Mathematical Society, SIAM Journal on Control and Optimization, SIAM Journal on Numerical Analysis, Computing and Visualization in Science, and Calcolo.
  • He is a member of the senate of the Christian Doppler Forschungsgesellschaft in  Austria, and was honored by the Alwin Walther Medaille, Darmstadt, in 2008.
 
 
Personal webpage
 
http://www.uni-graz.at/imawww/kunisch/
 

 

Plenary talk: Optimal Control of Partial Differential Equations with Nonsmooth Cost Functionals

 

Over the last several decades tremendous progress in the analysis and numerical treatment of optimal control problems governed by partial differential equations and smooth cost functionals was made.

But in many important applications the cost is non-smooth. This is the case, for instance, for optimal control with sparsity constraints, for minimum effort problems, and for optimal control with switching constraints.

The natural settings of such problems are non-reflexive Banach spaces, which lead to new analytical challenges. The lack of smoothness, on the other hand, demands novel numerical tools for practically solving the resulting infinite dimensional optimization problems. In the talk I serve recent contributions to this exciting topic.