Parabolic Control Problems in Measure Spaces with Sparse Solutions
Parabolic Control Problems in Measure Spaces with Sparse Solutions
Optimal control problems in measure spaces lead to controls that have small support, which is desirable, e.g., in the context of optimal actuator placement. For problems governed by parabolic partial differential equations, well-posedness is guaranteed in the space of square-integrable measure-valued functions, which leads to controls with a spatial sparsity …