A three line proof for traces of H1 functions on special Lipschitz domains

Sylvie Monniaux (1)

1 I2M - Institut de Mathématiques de Marseille

We give a very short proof of the fact that H1 functions on Lipschitz domains have L2 traces on the boundary of the domain.

Mots clés: Sobolev spaces; traces; divergence theorem

Domaines: Equations aux dérivées partielles [math.AP]

Sylvie Monniaux. A three line proof for traces of H1 functions on special Lipschitz domains. Ulmer Seminare, 2014, pp.355-356. ⟨hal-00984231⟩