OSU Mathematics Seminars and Colloquia
Calendar
Fri, Sep 29, 2017
Colloquium
3:30 PM
MSCS 514
Density of convex set intersections in Sobolev spaces with applications
Carlos N. Rautenberg, Einstein Center for Mathematics Berlin
Host: Weiwei Hu
[Abstract] [PDF]
Abstract: We address density properties of intersections of convex sets in Sobolev spaces. The constraint sets are determined by pointwise bounds on function values, their gradient or divergence, and they are commonly found in infinite dimensional control and optimization problems, and variational inequalities. Using Gamma-convergence we show that these density issues arise (as necessary and sufficient conditions) for consistency of regularization and discretization, and in dualization of these type of problems. It is shown that a dense embedding is not enough to guarantee density, and we provide counterexamples for discontinuous obstacles and minimum regularity results for obstacles in Sobolev spaces. Additionally, we consider concrete applications on image reconstruction, and elastoplasticity.
Automatically add seminars to your own calendar (e.g., Google Calendar) via an ical link.

List of links (urls) directly to a seminar series.

Return to Math Department Login Page

To add/edit talks, please log in on the department web page, then return to Announce.
Alternatively if you know the Announce username/password, click the link below:

Announce Seminar Calendar Login