Weighted analytic regularity in polyhedra

Martin Costabel (1) , Monique Dauge (1) , Serge Nicaise (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LAMAV - Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015

We explain a simple strategy to establish analytic regularity for solutions of second order linear elliptic boundary value problems. The abstract framework presented here helps to understand the proof of analytic regularity in polyhedral domains given in "http://hal.archives-ouvertes.fr/hal-00454133" the authors' paper published in Math. Models Methods Appl. Sci. 22 (8) (2012). We illustrate this strategy by considering problems set in smooth domains, in corner domains and in polyhedra.

Domaines: Analyse numérique [math.NA]

Martin Costabel, Monique Dauge, Serge Nicaise. Weighted analytic regularity in polyhedra. 2012. ⟨hal-00735620v1⟩