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Optimal control of partial differential equations with measures

Christian Clason and Karl Kunisch

Optimal control problems for partial differential equations with controls in the space L¹ are known to lead to sparse controls, which have applications in the optimal placement of discrete sensors or actuators. The natural functional-analytic framework for such problems is the space of bounded Borel measures. The goal is to develop efficient numerical methods for the solution of optimal control problems with measures.

 

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