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

作者：Amrouche Cherif^*; Dambrine Marc; Raudin Yves

来源：Journal of Differential Equations, 2012, 253(3): 906-932.

DOI：10.1016/j.jde.2012.04.009

• Linear elasticity
• Neumann boundary conditions
• Half-space
• Weighted Sobolev spaces

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.

• 出版日期2012-8-1