3 years ago

Trace maps for rough hypersurfaces in Sobolev spaces.

Ricardo Weder

In this paper we revisit the problem of bounded trace maps on hypersurfaces, for Sobolev spaces. We look to this problem from a point of view that is fundamentally different from the one in the classical theory of trace maps. In this way, we construct bounded trace maps on rough hypersurfaces, for Sobolev spaces, under weak assumptions on the regularity of the hypersurfaces. Furthermore, using our trace maps we prove a coarea formula where the level sets are rough hypersurfaces that satisfy weak regularity assumptions.

Publisher URL: http://arxiv.org/abs/1810.06094

DOI: arXiv:1810.06094v3

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.