Title: Banach space regularization and conditional stability
Organizer(s): Jin Cheng, Fudan University Shanghai, China
Bernd Hofmann, Chemnitz University of Technology, Germany
Speakers: Jin Cheng, Fudan Univ. Shanghai, China
Unique continuation on the analytic curve and its applications to inverse problems

Markus Grasmair, Univ. of Vienna, Austria
Convergence rates for positively homogeneous regularization functionals on Banach spaces

Bangti Jin, A&M Texas Univ.
A new approach to nonlinear constrained Tikhonov regularization

Jijun Liu (Speaker), Southwest University, China
and Masahiro Yamamoto, The University of Tokyo, Japan
A backward problem for the time-fractional diffusion equation

Shuai Lu, Fudan Univ. Shanghai, China
A note on the conditional stability of nonlinear ill-posed problems in Banach spaces

Stefan Kindermann, Joh. Kepler Univ. Linz, Austria
On the degree of ill-posedness

Kamil Kazimierski, Univ. of Bremen, Germany
Iterative regularization methods in Banach spaces

Torsten Hein, TU Berlin, Germany
Iterative regularization of gradient-type in Banach spaces

The main goal of this minisymposium is to bring together experts in the fields of Banach space regularization and of conditional stability. Even if all know that both topics are relevant ingredients for the analysis and numerics of stable approximate solutions of ill-posed linear and nonlinear inverse problems with applications in natural sciences and technology, it seems to be a challenging task to highlight essential cross-connections, for example with respect to convergence rates results, and to formulate a common language for both communities. Moreover, we are going to study the degree of ill-posedness of classes of inverse problems and to discuss the chances of Banach space tools in comparison with classical Hilbert space tools used in regularization.

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