Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction

Details Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction

2006-12-07

arxiv.org/abs/math/0612198v2

Mathematics

Analysis of PDEs

25 pages

Scientific paper

A result of Larsen concerning the structure of the approximate gradient of certain sequences of functions with Bounded Variation is used to present a short proof of Ambrosio's lower semicontinuity theorem for quasiconvex bulk energies in $SBV$. It enables to generalize to the $SBV$ setting the decomposition lemma for scaled gradients in dimension reduction and also to show that, from the point of view of bulk energies, $SBV$ dimensional reduction problems can be reduced to analogue ones in the Sobolev spaces framework.

Affiliated with

Also associated with

No associations

Rating

Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction 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 Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-16442