Seminar series
Date
Fri, 18 Jun 2010
Time
11:00 -
12:00
Location
Gibson 1st Floor SR
Speaker
Martin Kruzik
Organisation
Academy of Sciences, Prague
It is well-known that Morrey's quasiconvexity is closely related to gradient Young measures,
i.e., Young measures generated by sequences of gradients in
$L^p(\Omega;\mathbb{R}^{m\times n})$. Concentration effects,
however, cannot be treated by Young measures. One way how to describe both oscillation and
concentration effects in a fair generality are the so-called DiPerna-Majda measures.
DiPerna and Majda showed that having a sequence $\{y_k\}$ bounded in $L^p(\Omega;\mathbb{R}^{m\times n})$,$1\le p$ $0$.