Trace of BV-functions on irregular subsets

Details Trace of BV-functions on irregular subsets Trace of BV-functions on irregular subsets

2009-03-26

arxiv.org/abs/0903.4608v1

Mathematics

Functional Analysis

20 pages

Scientific paper

In the paper, the basic results on boundary trace of the book "Sobolev spaces" by V. Maz'ya are generalized to a wider class of regions. In the book, boundary trace of BV-functions is defined for regions with finite perimeter and the main results were obtained under the assumption that normals in the sense of Federer exist almost everywhere on the boundary. Instead of that, we investigate trace of BV functions on any countably (n-1)-rectifiable set.

Affiliated with

Also associated with

No associations

Rating

Trace of BV-functions on irregular subsets 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 Trace of BV-functions on irregular subsets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trace of BV-functions on irregular subsets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-64953