Fri, 18 Jun 2010

11:00 - 12:00
Gibson 1st Floor SR

Quasiconvexity at the boundary and weak lower semicontinuity of integral functionals

Martin Kruzik
(Academy of Sciences, Prague)
Abstract

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 $L^p(\Omega;\mathbb{R}^{m\times n})$,$1\le p$ $0$.

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