New publication on non-coercive boundary control problems

1 Oktober 2024

Our new article on “Non-coercive Neumann boundary control problems” was recently published in the journal Results in Mathematics.

The manuscript deals with the discretization of an optimal control problem for a non-coercive boundary value problem. The motivation was to require as few assumptions as possible in order to better understand their meaning: The domain does not need not be convex, the data should be as non-regular as possible and coercivity of the differential operator is not required. In particular, the lack of coercivity means that standard techniques such as the use of the Lax-Milgram lemma or Céa's lemma are not practicable. Nevertheless, it has been possible to reproduce the known estimates of the discretization error, which have been proven under much stronger conditions.

Apel, Thomas, Mateos, Mariano, Rösch, Arnd. Non-coercive Neumann Boundary Control Problems. Results Math 79, 227 (2024) [ Preprint | Paper ]