On some non-trivial approximation questions
Event details
| Date | 09.01.2015 |
| Hour | 15:15 |
| Speaker | Prof. Aldo Pratelli, Universität Erlangen |
| Category | Conferences - Seminars |
We will discuss some questions about approximation of functions which are very simple to state but hard to solve. Basically, we will see that the standard approximation tecniques (for instance, mollification with a smoothing kernel) do not work if we want to approximate homeomorphisms with other homeomorphisms, because the injektivity can be lost. We will first briefly describe a one-dimensional problem, then the main two-dimensional one; in particular, the latter has been proposed more than 30 years ago by Ball and Evans, and it would be fundamental to deal with more success with problems in nonlinear elasticity. We will present some recent positive answers, even though, the completely general problem is still open. (Joint works with S. Daneri, S. Hencl, E. Radici).
Links
Practical information
- General public
- Free
Organizer
- Prof. Bernard Dacorogna
Contact
- Virginie Ledouble