Asymptotic Behavior of Green Functions of Divergence form Operators with Periodic Coefficients

Xavier Blanc (1) , Frédéric Legoll (2) , Arnaud Anantharaman (3, 4)

1 LJLL - Laboratoire Jacques-Louis Lions
2 MATHERIALS - MATHematics for MatERIALS
3 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
4 MICMAC - Methods and engineering of multiscale computing from atom to continuum

This article is concerned with the asymptotic behavior, at infinity and at the origin, of Green functions of operators of the form Lu= −div(A∇u), where A is a periodic, coercive, and bounded matrix.

Mots clés: Green function; elliptic equation

Domaines: Equations aux dérivées partielles [math.AP]

Xavier Blanc, Frédéric Legoll, Arnaud Anantharaman. Asymptotic Behavior of Green Functions of Divergence form Operators with Periodic Coefficients. Applied Mathematics Research eXpress, 2013, 2013, pp.79 - 101. ⟨10.1093/amrx/abs013⟩. ⟨hal-01079280⟩