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Main Author: de Lis, José Claudio Sabina
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.17325
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author de Lis, José Claudio Sabina
author_facet de Lis, José Claudio Sabina
contents This work is devoted to prove an optimum version of the trace inequality associated to the embedding $BV(Ω)\subset L^1(\partialΩ)$. Special emphasis is placed on the regularity that the domain $Ω$ should exhibit for this result to be valid.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17325
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Trace inequality for $BV(Ω)$ in smooth domains
de Lis, José Claudio Sabina
Analysis of PDEs
46E35, 26D10, 35J92
This work is devoted to prove an optimum version of the trace inequality associated to the embedding $BV(Ω)\subset L^1(\partialΩ)$. Special emphasis is placed on the regularity that the domain $Ω$ should exhibit for this result to be valid.
title Trace inequality for $BV(Ω)$ in smooth domains
topic Analysis of PDEs
46E35, 26D10, 35J92
url https://arxiv.org/abs/2411.17325