An L p theory of linear elasticity in the half-space

Chérif Amrouche (1) , Marc Dambrine (1) , Yves Raudin (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

Motived by the boundary values problem solved by correctors in the asymptotic analysis of singular perturbation of the domain, we consider Navier equations of linear elasticity in the half-space. We present a general theory of existence and uniqueness in the L p setting: we consider the weak solutions, the strong solutions and also very weak solutions. © 2012 Elsevier Inc.

Domaines: Equations aux dérivées partielles [math.AP]

Chérif Amrouche, Marc Dambrine, Yves Raudin. An L p theory of linear elasticity in the half-space. Journal of Differential Equations, 2012, 253 (3), pp.906-932. ⟨10.1016/j.jde.2012.04.009⟩. ⟨hal-00864963⟩