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mathematical image processing with emphasis on MRI applications.
**Karl** **Kunisch** is a professor and
head of department of
mathematics at the University of Graz, and
Scientific Director of the Radon
Institute of

ESAIM: COCV
TIME OPTIMAL CONTROL OF THE HEAT EQUATION WITH POINTWISE CONTROL CONSTRAINTS
**Karl** **Kunisch** 1
Lijuan
0 School of Mathematics and Statistics, Wuhan University , Wuhan 430072 , P.R. China
1

ESAIM: COCV
1. Introduction, problem statement, regularization
**Karl** **Kunisch** 1
Daniel Wachsmuth 0
0 Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of

Convex duality is a powerful framework for solving non-smooth optimal control problems. However, for problems set in non-reflexive Banach spaces such as L1(Ω) or BV(Ω), the dual problem is formulated in a space which has difficult measure theoretic structure. The predual problem, on the other hand, can be formulated in a Hilbert space and entails the minimization of a smooth...

Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale...