Abstract:
We discuss variational regularization for ill-posed nonlinear problems with focus on an oversmoothing penalty term. This means in our model that the searched-for solution of the considered nonlinear operator
equation does not belong to the domain of definition of the penalty functional. In the past years, such variational regularization has been investigated comprehensively in Hilbert scales. The presentation also
tries to extend those investigations to different scales in Banach spaces, including convergence rates results, both for Hölder-type smoothness and low order type smoothness.
This talk will partly present joint work with Robert Plato (Siegen) and Peter Mathé (Berlin). Research has been supported by the Deutsche Forschungsgemeinschaft (DFG) under grant HO 1454/13-1
Variational Regularization with Oversmoothing Penalty Term in Hilbert and Banach Spaces
21.05.2025 15:15 - 16:45
Organiser:
O. Scherzer, R. Bot
Location: