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math.OC2023
Stabilizability for nonautonomous linear parabolic equations with actuators as distributions
Karl Kunisch, Sérgio S. Rodrigues, Daniel Walter
The stabilizability of a general class of abstract parabolic-like equations is investigated, with a finite number of actuators. This class includes the case of actuators given as d…
math.NA2023
Towards optimal sensor placement for inverse problems in spaces of measures
Phuoc-Truong Huynh, Konstantin Pieper, Daniel Walter
The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be usefu…