User:S.anzengruber/Sandbox

Characterization of Lower Semicontinuity
I see a fundamental problem with the proof of the Characterization of Lower Semicontinuity. It is based mostly on sequences, which is not appropriate for the general topological setting. A proof based on the approaches in


 * : Proposition 1.3 in $\S$2


 * : Proposition 1.7

is currently WIP at User:S.anzengruber/Sandbox/LSC.

Collection of frequent links and ToDo list
To facilitate editing by copy-pasting, I collect frequently used internal links and pages I plan to create in the future at User:S.anzengruber/Sandbox/Links.

Regularization Theory for Inverse Problems
This is where my mathematical background lies and when the time comes, I will work on Tikhonov Regularization and the alikes. First steps in this direction can be found at User:S.anzengruber/Sandbox/Regularization Theory.