Traces of non regular vector fields on Lipschitz domains

In this note, for Lipschitz domains Ω ⊂ Rn, I propose to show the boundedness of the trace operator for functions from H1(Ω) to L2(∂Ω) as well as for square integrable vector fields in L2 with square integrable divergence and curl satisfying a half boundary condition. Such results already exist in the literature. The originality of this work lies on the control of the constants involved. The proofs are based on integration by parts formulas applied to the right expressions.

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Source Operator semigroups meet complex analysis, harmonic analysis and mathematical physics
Author Monniaux, Sylvie
Maintainer CCSD
Last Updated May 7, 2026, 02:15 (UTC)
Created May 7, 2026, 02:15 (UTC)
Identifier hal-00943142
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire d'Analyse, Topologie, Probabilités (LATP) ; Université Paul Cézanne - Aix-Marseille 3-Université de Provence - Aix-Marseille 1-Centre National de la Recherche Scientifique (CNRS)
coverage Herrnhut, Germany
creator Monniaux, Sylvie
date 2015-05-07T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-03T00:00:00
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