Domingos Cavalcanti, V. N.2018-08-302018-08-301997-07-31Domingos Cavalcanti, V. N. (1997). Behaviour near the boundary for solutions of elasticity systems. <i>Electronic Journal of Differential Equations, 1997</i>(12), pp. 1-18.1072-6691https://hdl.handle.net/10877/7665In this article we study the behaviour near the boundary for weak solutions of the system u'' − µ∆u − (λ + µ)∇(α(x) div u) = h, with u(x, t) = 0 on the boundary of a domain Ω ∈ Rn, and u(x, 0) = u0, u' (x, 0) = u1 in Ω. We show that the Sobolev norm of the solution in an ε-neighbourhood of the boundary can be estimated independently of ε.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalBehaviour near the boundaryControllabilityElasticity systemArticle