Oscillations and concentrations up to the boundary

Details Oscillations and concentrations up to the boundary Oscillations and concentrations up to the boundary

2011-09-14

arxiv.org/abs/1109.3020v1

Mathematics

Analysis of PDEs

25 pages

Scientific paper

Oscillations and concentrations in sequences of gradients $\{\nabla u_k\}$, bounded in $L^p(\Omega;\R^{M\times N})$ if $p>1$ and $\Omega\subset\R^n$ is a bounded domain with the extension property in $W^{1,p}$, and their interaction with local integral functionals can be described by a generalization of Young measures due to DiPerna and Majda. We characterize such DiPerna-Majda measures, thereby extending a result by Ka{\l}amajska and Kru\v{z}\'{\i}k (2008), where the full characterization was possible only for sequences subject to a fixed Dirichlet boundary condition. As an application we state a relaxation result for noncoercive multiple-integral functionals.

Affiliated with

Also associated with

No associations

Rating

Oscillations and concentrations up to the boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Oscillations and concentrations up to the boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Oscillations and concentrations up to the boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-569325