English

The structure of the free boundary for lower dimensional obstacle problems

Analysis of PDEs 2007-05-23 v1

Abstract

We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a C1,αC^{1,\alpha} (n2)(n-2)-dimensional surface in n1\real^{n-1}.

Keywords

Cite

@article{arxiv.math/0609031,
  title  = {The structure of the free boundary for lower dimensional obstacle problems},
  author = {I. Athanasopoulos and L. A. Caffarelli and S. Salsa},
  journal= {arXiv preprint arXiv:math/0609031},
  year   = {2007}
}

Comments

11 pages, AMSLaTeX

R2 v1 2026-07-22T17:41:46.909Z