A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary

Virginie Bonnaillie-Noël (1) , Matteo Dalla Riva (2) , Marc Dambrine (3) , Paolo Musolino (4)

1 DMA - Département de Mathématiques et Applications - ENS Paris
2 Department of Mathematics, The University of Tulsa
3 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
4 Dipartimento di Matematica [Padova]

Mots clés: singularly perturbed perforated domain; Laplace operator; real analytic continuation in Banach space; asymptotic analysis; Dirichlet problem

Domaines: Equations aux dérivées partielles [math.AP]

Virginie Bonnaillie-Noël, Matteo Dalla Riva, Marc Dambrine, Paolo Musolino. A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. 2016. ⟨hal-01415983v1⟩