English

Trace inequality for $BV(\Omega)$ in smooth domains

Analysis of PDEs 2024-12-24 v2

Abstract

This work is devoted to prove an optimum version of the trace inequality associated to the embedding BV(Ω)L1(Ω)BV(\Omega)\subset L^1(\partial\Omega). Special emphasis is placed on the regularity that the domain Ω\Omega should exhibit for this result to be valid.

Keywords

Cite

@article{arxiv.2411.17325,
  title  = {Trace inequality for $BV(\Omega)$ in smooth domains},
  author = {José Claudio Sabina de Lis},
  journal= {arXiv preprint arXiv:2411.17325},
  year   = {2024}
}

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21 pages