Seminar series
Date
Mon, 26 Jan 2004
17:00
17:00
Location
L1
Speaker
Jonathan Bevan
Organisation
Oxford
Using a technique explored in unpublished work of Ball and Mizel I shall
show that already in 2 and 3 dimensions there are vectorfields which are
singular minimizers of integral functionals whose integrand is strictly
polyconvex and depends on the gradient of the map only. The analysis behind
these results gives rise to an interesting question about the relationship
between the regularity of a polyconvex function and that of its possible
convex representatives. I shall indicate why this question is interesting in
the context of the regularity results above and I shall answer it in certain
cases.