Behaviour Near the Boundary for Solutions of Elasticity Systems
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In 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.
CitationDomingos Cavalcanti, V. N. (1997). Behaviour near the boundary for solutions of elasticity systems. Electronic Journal of Differential Equations, 1997(12), pp. 1-18.
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